The document provides formulas to convert between km/hr and m/s for train speed calculations. It also lists important points for solving problems involving moving trains, such as the distance traveled being equal to the length of the train when passing a pole. Several example problems are worked out, such as calculating train length given the time to pass a pole, or calculating platform length given the time for a train to pass including its own length.
Banks and SSC - Time and Distance Concept ClassGeorge Prep
The document discusses various concepts related to time, speed, and distance including the relationships between distance, speed, and time. It provides examples of problems involving calculating distance, speed, time, average speed, relative speed, and problems related to trains, boats, streams, and circular tracks. It includes step-by-step solutions for multiple choice problems on these topics from past banking exams.
The document discusses speed, time, and distance concepts and relationships. It provides 13 example problems worked out step-by-step to illustrate calculating speed, average speed, and using the formulas of distance=speed x time. The document is authored by Dr. Manjunatha. P and addresses quantitative aptitude concepts for an examination.
Here are the steps to rearrange two identical squares to make four identical squares:
1. Cut one of the squares diagonally into two right triangles.
2. Rearrange the pieces to form four congruent right triangles.
3. Connect the hypotenuses of the four triangles to form four identical squares.
The document provides information on the relationships between distance, time, and speed. It includes formulas for converting between kilometers per hour and meters per second, calculating average speed when distances are covered at different speeds, and calculating relative speeds of objects like trains moving in the same or opposite directions. It then provides a quiz with 10 multiple choice questions related to using these formulas and concepts to solve word problems involving time, distance, and speed.
Maglev trains use electromagnetic levitation to lift and propel trains along guideways at high speeds without friction. Magnets underneath the train lift it a few centimeters above the track, while side magnets keep it centered. This allows maglev trains to reach speeds over 400 mph. Projects exist in Germany, India, and the United States, with the goal of providing fast, efficient transport while reducing environmental impact compared to other modes of transportation.
Maglev trains use electromagnetic levitation to lift and propel trains along guideways at high speeds with little friction. Magnets underneath the train lift it a few centimeters above the track, while side magnets keep it centered. This allows maglev trains to reach speeds over 400 mph. Projects exist in Germany, India, and the United States, with the goal of providing fast, efficient transport while reducing environmental impact compared to other modes of transportation.
1. The document provides teaching notes on speed, time, and distance concepts including definitions of key terms like speed, average speed, and relative speed.
2. It includes examples of speed, time, and distance word problems and step-by-step solutions showing calculations and conversions between units.
3. Sample problems cover topics like calculating time to meeting points, average speeds, relative speeds of objects traveling in the same or opposite directions, and speed of boats traveling upstream or downstream.
1. The document provides teaching notes on speed, time, and distance concepts including definitions of key terms like speed, average speed, and relative speed.
2. It includes examples of speed, time, and distance word problems and step-by-step solutions showing calculations and conversions between units.
3. Sample problems cover topics like calculating time to meeting points, average speeds, relative speeds of objects traveling in the same or opposite directions, and speed of boats traveling upstream or downstream.
Banks and SSC - Time and Distance Concept ClassGeorge Prep
The document discusses various concepts related to time, speed, and distance including the relationships between distance, speed, and time. It provides examples of problems involving calculating distance, speed, time, average speed, relative speed, and problems related to trains, boats, streams, and circular tracks. It includes step-by-step solutions for multiple choice problems on these topics from past banking exams.
The document discusses speed, time, and distance concepts and relationships. It provides 13 example problems worked out step-by-step to illustrate calculating speed, average speed, and using the formulas of distance=speed x time. The document is authored by Dr. Manjunatha. P and addresses quantitative aptitude concepts for an examination.
Here are the steps to rearrange two identical squares to make four identical squares:
1. Cut one of the squares diagonally into two right triangles.
2. Rearrange the pieces to form four congruent right triangles.
3. Connect the hypotenuses of the four triangles to form four identical squares.
The document provides information on the relationships between distance, time, and speed. It includes formulas for converting between kilometers per hour and meters per second, calculating average speed when distances are covered at different speeds, and calculating relative speeds of objects like trains moving in the same or opposite directions. It then provides a quiz with 10 multiple choice questions related to using these formulas and concepts to solve word problems involving time, distance, and speed.
Maglev trains use electromagnetic levitation to lift and propel trains along guideways at high speeds without friction. Magnets underneath the train lift it a few centimeters above the track, while side magnets keep it centered. This allows maglev trains to reach speeds over 400 mph. Projects exist in Germany, India, and the United States, with the goal of providing fast, efficient transport while reducing environmental impact compared to other modes of transportation.
Maglev trains use electromagnetic levitation to lift and propel trains along guideways at high speeds with little friction. Magnets underneath the train lift it a few centimeters above the track, while side magnets keep it centered. This allows maglev trains to reach speeds over 400 mph. Projects exist in Germany, India, and the United States, with the goal of providing fast, efficient transport while reducing environmental impact compared to other modes of transportation.
1. The document provides teaching notes on speed, time, and distance concepts including definitions of key terms like speed, average speed, and relative speed.
2. It includes examples of speed, time, and distance word problems and step-by-step solutions showing calculations and conversions between units.
3. Sample problems cover topics like calculating time to meeting points, average speeds, relative speeds of objects traveling in the same or opposite directions, and speed of boats traveling upstream or downstream.
1. The document provides teaching notes on speed, time, and distance concepts including definitions of key terms like speed, average speed, and relative speed.
2. It includes examples of speed, time, and distance word problems and step-by-step solutions showing calculations and conversions between units.
3. Sample problems cover topics like calculating time to meeting points, average speeds, relative speeds of objects traveling in the same or opposite directions, and speed of boats traveling upstream or downstream.
This document contains multiple questions related to trains, boats, and vehicles traveling at various speeds. It includes questions about calculating speeds and distances given the time taken to pass objects, lengths of trains, and ratios of speeds between different modes of transportation. The questions cover topics like calculating speeds of trains and boats in the presence of currents, determining lengths when vehicles pass each other, and finding distances traveled over time periods using average speeds.
Indian railway network is one of the biggest transportation network in India and is the third largest railway network in the world. Mail/express trains are regular express rail service of India. Express trains make small number of stops, unlike passenger trains. The Duronto express trains introduced in 2009 (which run between major cities without any intermediate halts) are projected to be the fastest train in India introduced with a higher speed limit of 120-130 km/h. Bullet trains in India will become an engine of economic transformation in India
The document provides information and formulas related to speed, time, and distance problems involving trains. It includes conversions between km/hr and m/s, formulas for calculating time taken by trains of different lengths to pass objects, and examples of word problems involving trains passing stations, bridges, poles, and each other while moving in the same or opposite directions at various speeds.
- The digit two can be rearranged into four identical unit squares by breaking it into its constituent line segments and rearranging those segments.
- Specifically, the horizontal line of the two can be broken into two line segments, and the vertical line can be broken into two line segments, providing the four lines needed to form four identical unit squares.
CAT Time and distance session 2 and session 3George Prep
This document provides an overview of topics related to time, speed and distance (TSD) concepts. It covers basics like relationships between time, speed and distance, average speed and relative speed. It then discusses various problems related to to-and-fro motion in a straight line with objects moving in opposite or same directions. Other topics covered include circular motion with two or more objects moving in same or opposite directions, problems related to trains passing stationary and moving objects, boats and streams, and races. It provides examples of problems for each topic and step-by-step solutions. The document appears to be teaching materials for a session on time, speed and distance concepts.
The document provides examples and solutions to problems involving speed, distance, and time calculations for objects moving at constant or varying speeds. It includes conversions between km/hr and m/s, examples of calculating average speed and determining distances traveled given speeds and time differences, and sample problems about the speeds and lengths of trains passing stations or other trains.
This document discusses two types of maglev trains - Transrapid magnetic lift trains and Chuo Shinkansen trains. Transrapid trains use electromagnets to levitate 1 cm above the track and propel the train using alternating current in the guideway. Chuo Shinkansen trains use superconducting electromagnets cooled with liquid helium or nitrogen to levitate 10 cm above the track and are propelled using magnetic fields from the guideway. Maglev trains can reach speeds up to 350 mph, provide a safe and efficient travel option, but governments have mixed views on the technology due to high costs.
This document discusses problems related to trains, including examples of calculating time for trains passing objects. It provides:
1) An overview of train problems involving time and distance, noting that train length must be considered.
2) Examples of calculations for trains passing telegraph posts, crossing bridges, running towards or alongside other trains and people.
3) A shortcut trick for converting between kmph and mps without complex calculations, by multiplying kmph by 10.
Research paper publications: Meaning of Q1 Q2 Q3 Q4 JournalDr. Manjunatha. P
This document discusses journal impact factors and quartiles for scientific journals. It provides an overview of Scopus and Web of Science databases for indexing journals and articles. It defines impact factor as the average number of citations received per article over a two year period. Journals are ranked into quartiles (Q1 to Q4) based on their impact factors, with Q1 being the top 25% of journals in a field. The document provides links to check the impact factors and quartiles of specific journals.
Blood Pressure and it's information, Hypertension, StrokeDr. Manjunatha. P
Blood pressure is the amount of force exerted by blood on the walls of arteries as it is pumped by the heart. It is measured in millimeters of mercury (mmHg) and expressed as a ratio of systolic over diastolic pressure. Systolic pressure occurs when the heart contracts while diastolic pressure is when the heart relaxes between beats. Blood pressure is affected by factors like age, obesity, stress, sleep, family history, salt intake, and alcohol consumption. Untreated high blood pressure or hypertension can significantly increase the risks of stroke, heart disease, kidney failure, and vision problems.
The document discusses innovative teaching methods including flipped classroom, peer teaching, project-based learning, inquiry-based learning, interactive lessons, and blended learning. It provides examples of each method such as students reviewing lecture materials at home and participating in classroom activities for flipped classroom or students conducting experiments and field trips to encourage critical thinking for inquiry-based learning. The goal of these innovative teaching methods is to improve student outcomes through greater engagement and application of concepts.
The document discusses advances in computer hardware components such as motherboards, RAM, processors and cache memory. It provides details on different types of motherboards, RAM standards, Intel processor naming conventions related to cache size, and performance comparisons of processors. Key topics covered include motherboard form factors, RAM speeds and capacities of DDR standards, Intel Core i3, i5 and i7 processor specifications, and an overview of cache memory hierarchy and types.
The document outlines various ICT tools used for teaching and learning at JNNCE Shimoga, including Google Classroom for sharing course materials and assignments, online quizzes through Google Forms and Kahoot!, programming tools like Python and Matlab, online classes on Zoom and Google Meet, encouraging MOOC courses on platforms like NPTEL and Coursera, competitive programming on HackerRank, and accessing e-journals and e-books through the institute's e-library.
This document is a lecture on digital electronics presented by Dr. Manjunatha. P. It begins with an overview and classification of materials as metals, semiconductors, and insulators based on their resistivity and energy bands. It then discusses semiconductor diodes and their characteristics. The main topics covered include logic gates such as NOT, AND, OR, NAND, NOR, XOR and XNOR gates. Their truth tables and implementations using other gates are provided. Analogies are drawn between logic gates and electrical circuits.
Matlab for beginners, Introduction, signal processingDr. Manjunatha. P
The document provides an introduction and overview of MATLAB. It discusses that MATLAB was initially developed as a tool to help students learn linear algebra and is now a widely used software package for engineering and mathematical problems. The document then covers various MATLAB windows and basics like variables, matrices, plot commands, m-files, and flow control structures like for loops and if/else statements. It also provides examples of plotting functions and creating graphs with labels and titles.
This document provides an overview of digital electronics and logic gates. It begins with classifying materials as metals, semiconductors, or insulators based on their conductivity and energy bands. Common semiconductor devices like diodes, transistors, and their applications in rectifiers are described. The main logic gates - NOT, AND, OR, NAND, NOR, XOR and XNOR - are defined through their truth tables and symbols. Equivalence of different gates using NAND or NOR is also shown. Circuit analogies are provided to explain gate operations.
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024Sinan KOZAK
Sinan from the Delivery Hero mobile infrastructure engineering team shares a deep dive into performance acceleration with Gradle build cache optimizations. Sinan shares their journey into solving complex build-cache problems that affect Gradle builds. By understanding the challenges and solutions found in our journey, we aim to demonstrate the possibilities for faster builds. The case study reveals how overlapping outputs and cache misconfigurations led to significant increases in build times, especially as the project scaled up with numerous modules using Paparazzi tests. The journey from diagnosing to defeating cache issues offers invaluable lessons on maintaining cache integrity without sacrificing functionality.
This document contains multiple questions related to trains, boats, and vehicles traveling at various speeds. It includes questions about calculating speeds and distances given the time taken to pass objects, lengths of trains, and ratios of speeds between different modes of transportation. The questions cover topics like calculating speeds of trains and boats in the presence of currents, determining lengths when vehicles pass each other, and finding distances traveled over time periods using average speeds.
Indian railway network is one of the biggest transportation network in India and is the third largest railway network in the world. Mail/express trains are regular express rail service of India. Express trains make small number of stops, unlike passenger trains. The Duronto express trains introduced in 2009 (which run between major cities without any intermediate halts) are projected to be the fastest train in India introduced with a higher speed limit of 120-130 km/h. Bullet trains in India will become an engine of economic transformation in India
The document provides information and formulas related to speed, time, and distance problems involving trains. It includes conversions between km/hr and m/s, formulas for calculating time taken by trains of different lengths to pass objects, and examples of word problems involving trains passing stations, bridges, poles, and each other while moving in the same or opposite directions at various speeds.
- The digit two can be rearranged into four identical unit squares by breaking it into its constituent line segments and rearranging those segments.
- Specifically, the horizontal line of the two can be broken into two line segments, and the vertical line can be broken into two line segments, providing the four lines needed to form four identical unit squares.
CAT Time and distance session 2 and session 3George Prep
This document provides an overview of topics related to time, speed and distance (TSD) concepts. It covers basics like relationships between time, speed and distance, average speed and relative speed. It then discusses various problems related to to-and-fro motion in a straight line with objects moving in opposite or same directions. Other topics covered include circular motion with two or more objects moving in same or opposite directions, problems related to trains passing stationary and moving objects, boats and streams, and races. It provides examples of problems for each topic and step-by-step solutions. The document appears to be teaching materials for a session on time, speed and distance concepts.
The document provides examples and solutions to problems involving speed, distance, and time calculations for objects moving at constant or varying speeds. It includes conversions between km/hr and m/s, examples of calculating average speed and determining distances traveled given speeds and time differences, and sample problems about the speeds and lengths of trains passing stations or other trains.
This document discusses two types of maglev trains - Transrapid magnetic lift trains and Chuo Shinkansen trains. Transrapid trains use electromagnets to levitate 1 cm above the track and propel the train using alternating current in the guideway. Chuo Shinkansen trains use superconducting electromagnets cooled with liquid helium or nitrogen to levitate 10 cm above the track and are propelled using magnetic fields from the guideway. Maglev trains can reach speeds up to 350 mph, provide a safe and efficient travel option, but governments have mixed views on the technology due to high costs.
This document discusses problems related to trains, including examples of calculating time for trains passing objects. It provides:
1) An overview of train problems involving time and distance, noting that train length must be considered.
2) Examples of calculations for trains passing telegraph posts, crossing bridges, running towards or alongside other trains and people.
3) A shortcut trick for converting between kmph and mps without complex calculations, by multiplying kmph by 10.
Research paper publications: Meaning of Q1 Q2 Q3 Q4 JournalDr. Manjunatha. P
This document discusses journal impact factors and quartiles for scientific journals. It provides an overview of Scopus and Web of Science databases for indexing journals and articles. It defines impact factor as the average number of citations received per article over a two year period. Journals are ranked into quartiles (Q1 to Q4) based on their impact factors, with Q1 being the top 25% of journals in a field. The document provides links to check the impact factors and quartiles of specific journals.
Blood Pressure and it's information, Hypertension, StrokeDr. Manjunatha. P
Blood pressure is the amount of force exerted by blood on the walls of arteries as it is pumped by the heart. It is measured in millimeters of mercury (mmHg) and expressed as a ratio of systolic over diastolic pressure. Systolic pressure occurs when the heart contracts while diastolic pressure is when the heart relaxes between beats. Blood pressure is affected by factors like age, obesity, stress, sleep, family history, salt intake, and alcohol consumption. Untreated high blood pressure or hypertension can significantly increase the risks of stroke, heart disease, kidney failure, and vision problems.
The document discusses innovative teaching methods including flipped classroom, peer teaching, project-based learning, inquiry-based learning, interactive lessons, and blended learning. It provides examples of each method such as students reviewing lecture materials at home and participating in classroom activities for flipped classroom or students conducting experiments and field trips to encourage critical thinking for inquiry-based learning. The goal of these innovative teaching methods is to improve student outcomes through greater engagement and application of concepts.
The document discusses advances in computer hardware components such as motherboards, RAM, processors and cache memory. It provides details on different types of motherboards, RAM standards, Intel processor naming conventions related to cache size, and performance comparisons of processors. Key topics covered include motherboard form factors, RAM speeds and capacities of DDR standards, Intel Core i3, i5 and i7 processor specifications, and an overview of cache memory hierarchy and types.
The document outlines various ICT tools used for teaching and learning at JNNCE Shimoga, including Google Classroom for sharing course materials and assignments, online quizzes through Google Forms and Kahoot!, programming tools like Python and Matlab, online classes on Zoom and Google Meet, encouraging MOOC courses on platforms like NPTEL and Coursera, competitive programming on HackerRank, and accessing e-journals and e-books through the institute's e-library.
This document is a lecture on digital electronics presented by Dr. Manjunatha. P. It begins with an overview and classification of materials as metals, semiconductors, and insulators based on their resistivity and energy bands. It then discusses semiconductor diodes and their characteristics. The main topics covered include logic gates such as NOT, AND, OR, NAND, NOR, XOR and XNOR gates. Their truth tables and implementations using other gates are provided. Analogies are drawn between logic gates and electrical circuits.
Matlab for beginners, Introduction, signal processingDr. Manjunatha. P
The document provides an introduction and overview of MATLAB. It discusses that MATLAB was initially developed as a tool to help students learn linear algebra and is now a widely used software package for engineering and mathematical problems. The document then covers various MATLAB windows and basics like variables, matrices, plot commands, m-files, and flow control structures like for loops and if/else statements. It also provides examples of plotting functions and creating graphs with labels and titles.
This document provides an overview of digital electronics and logic gates. It begins with classifying materials as metals, semiconductors, or insulators based on their conductivity and energy bands. Common semiconductor devices like diodes, transistors, and their applications in rectifiers are described. The main logic gates - NOT, AND, OR, NAND, NOR, XOR and XNOR - are defined through their truth tables and symbols. Equivalence of different gates using NAND or NOR is also shown. Circuit analogies are provided to explain gate operations.
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024Sinan KOZAK
Sinan from the Delivery Hero mobile infrastructure engineering team shares a deep dive into performance acceleration with Gradle build cache optimizations. Sinan shares their journey into solving complex build-cache problems that affect Gradle builds. By understanding the challenges and solutions found in our journey, we aim to demonstrate the possibilities for faster builds. The case study reveals how overlapping outputs and cache misconfigurations led to significant increases in build times, especially as the project scaled up with numerous modules using Paparazzi tests. The journey from diagnosing to defeating cache issues offers invaluable lessons on maintaining cache integrity without sacrificing functionality.
Using recycled concrete aggregates (RCA) for pavements is crucial to achieving sustainability. Implementing RCA for new pavement can minimize carbon footprint, conserve natural resources, reduce harmful emissions, and lower life cycle costs. Compared to natural aggregate (NA), RCA pavement has fewer comprehensive studies and sustainability assessments.
International Conference on NLP, Artificial Intelligence, Machine Learning an...gerogepatton
International Conference on NLP, Artificial Intelligence, Machine Learning and Applications (NLAIM 2024) offers a premier global platform for exchanging insights and findings in the theory, methodology, and applications of NLP, Artificial Intelligence, Machine Learning, and their applications. The conference seeks substantial contributions across all key domains of NLP, Artificial Intelligence, Machine Learning, and their practical applications, aiming to foster both theoretical advancements and real-world implementations. With a focus on facilitating collaboration between researchers and practitioners from academia and industry, the conference serves as a nexus for sharing the latest developments in the field.
ACEP Magazine edition 4th launched on 05.06.2024Rahul
This document provides information about the third edition of the magazine "Sthapatya" published by the Association of Civil Engineers (Practicing) Aurangabad. It includes messages from current and past presidents of ACEP, memories and photos from past ACEP events, information on life time achievement awards given by ACEP, and a technical article on concrete maintenance, repairs and strengthening. The document highlights activities of ACEP and provides a technical educational article for members.
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...IJECEIAES
Medical image analysis has witnessed significant advancements with deep learning techniques. In the domain of brain tumor segmentation, the ability to
precisely delineate tumor boundaries from magnetic resonance imaging (MRI)
scans holds profound implications for diagnosis. This study presents an ensemble convolutional neural network (CNN) with transfer learning, integrating
the state-of-the-art Deeplabv3+ architecture with the ResNet18 backbone. The
model is rigorously trained and evaluated, exhibiting remarkable performance
metrics, including an impressive global accuracy of 99.286%, a high-class accuracy of 82.191%, a mean intersection over union (IoU) of 79.900%, a weighted
IoU of 98.620%, and a Boundary F1 (BF) score of 83.303%. Notably, a detailed comparative analysis with existing methods showcases the superiority of
our proposed model. These findings underscore the model’s competence in precise brain tumor localization, underscoring its potential to revolutionize medical
image analysis and enhance healthcare outcomes. This research paves the way
for future exploration and optimization of advanced CNN models in medical
imaging, emphasizing addressing false positives and resource efficiency.
Harnessing WebAssembly for Real-time Stateless Streaming PipelinesChristina Lin
Traditionally, dealing with real-time data pipelines has involved significant overhead, even for straightforward tasks like data transformation or masking. However, in this talk, we’ll venture into the dynamic realm of WebAssembly (WASM) and discover how it can revolutionize the creation of stateless streaming pipelines within a Kafka (Redpanda) broker. These pipelines are adept at managing low-latency, high-data-volume scenarios.
A review on techniques and modelling methodologies used for checking electrom...nooriasukmaningtyas
The proper function of the integrated circuit (IC) in an inhibiting electromagnetic environment has always been a serious concern throughout the decades of revolution in the world of electronics, from disjunct devices to today’s integrated circuit technology, where billions of transistors are combined on a single chip. The automotive industry and smart vehicles in particular, are confronting design issues such as being prone to electromagnetic interference (EMI). Electronic control devices calculate incorrect outputs because of EMI and sensors give misleading values which can prove fatal in case of automotives. In this paper, the authors have non exhaustively tried to review research work concerned with the investigation of EMI in ICs and prediction of this EMI using various modelling methodologies and measurement setups.
Understanding Inductive Bias in Machine LearningSUTEJAS
This presentation explores the concept of inductive bias in machine learning. It explains how algorithms come with built-in assumptions and preferences that guide the learning process. You'll learn about the different types of inductive bias and how they can impact the performance and generalizability of machine learning models.
The presentation also covers the positive and negative aspects of inductive bias, along with strategies for mitigating potential drawbacks. We'll explore examples of how bias manifests in algorithms like neural networks and decision trees.
By understanding inductive bias, you can gain valuable insights into how machine learning models work and make informed decisions when building and deploying them.
1. Quantitative Aptitude: Problems on Trains
Dr. Manjunatha. P
manjup.jnnce@gmail.com
Professor & Dean Academics
JNNCE Shimoga
Dept. of ECE
J.N.N. College of Engineering, Shimoga
2. Problems on Trains
Formula to convert Km/hr to m/s
1 hour = 60 × 60 = 3600 seconds
1 km = 1000 meters
x km/hr = x
1000
3600
= x
10
36
= x
5
18
m/s
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 2 / 18
3. Problems on Trains
Formula to convert Km/hr to m/s
1 hour = 60 × 60 = 3600 seconds
1 km = 1000 meters
x km/hr = x
1000
3600
= x
10
36
= x
5
18
m/s
Formula to convert m/s to Km/hr
1 second =
1
60 × 60
=
1
3600
hour
1 meter =
1
1000
km
x m/s = x
1/1000
1/3600
= x
3600
1000
= x
36
10
= x
18
5
km/hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 2 / 18
4. Problems on Trains
Important Points to be considered for solving problems on moving trains:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 3 / 18
5. Problems on Trains
Important Points to be considered for solving problems on moving trains:
1 The distance traveled by a train to cross a pole or person is equal to the
length of the train.
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 3 / 18
6. Problems on Trains
Important Points to be considered for solving problems on moving trains:
1 The distance traveled by a train to cross a pole or person is equal to the
length of the train.
2 The distance traveled by train when it crosses a platform is equal to the
sum of the length of the train and length of the platform.
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 3 / 18
7. Problems on Trains
Important Points to be considered for solving problems on moving trains:
1 The distance traveled by a train to cross a pole or person is equal to the
length of the train.
2 The distance traveled by train when it crosses a platform is equal to the
sum of the length of the train and length of the platform.
3 When two trains are traveling in opposite directions at speeds v1 m/s and
v2 m/s then their relative speed is the sum of their individual speeds
(v1 + v2) m/s.
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 3 / 18
8. Problems on Trains
Important Points to be considered for solving problems on moving trains:
1 The distance traveled by a train to cross a pole or person is equal to the
length of the train.
2 The distance traveled by train when it crosses a platform is equal to the
sum of the length of the train and length of the platform.
3 When two trains are traveling in opposite directions at speeds v1 m/s and
v2 m/s then their relative speed is the sum of their individual speeds
(v1 + v2) m/s.
4 Two trains are traveling in the same direction at v1 m/s and v2 m/s
where v1 > v2 then their relative speed will be equal to the difference
between their individual speeds (v1 − v2) m/s.
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 3 / 18
9. Problems on Trains
5 When two trains of length x meters and y meters are moving in opposite
direction at v1 m/s and v2 m/s then the time taken by the trains to
cross each other is x+y
v1+v2
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 4 / 18
10. Problems on Trains
5 When two trains of length x meters and y meters are moving in opposite
direction at v1 m/s and v2 m/s then the time taken by the trains to
cross each other is x+y
v1+v2
6 When two trains of length x meters and y meters are moving in same
direction at v1 and v2 where v1 > v2 then the time taken by the faster
train to cross the slower train = x+y
v1−v2
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 4 / 18
11. Problems on Trains Problems on Pole/Man standing in the platform
Q1 A train running at the speed of 60 km/hr. It crosses a certain
pole that is in the way in 9 seconds. What is the length of the train?
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 5 / 18
12. Problems on Trains Problems on Pole/Man standing in the platform
Q1 A train running at the speed of 60 km/hr. It crosses a certain
pole that is in the way in 9 seconds. What is the length of the train?
Solution:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 5 / 18
13. Problems on Trains Problems on Pole/Man standing in the platform
Q1 A train running at the speed of 60 km/hr. It crosses a certain
pole that is in the way in 9 seconds. What is the length of the train?
Solution:
60km/hr = 60 ×
5
18
=
50
3
m/s
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 5 / 18
14. Problems on Trains Problems on Pole/Man standing in the platform
Q1 A train running at the speed of 60 km/hr. It crosses a certain
pole that is in the way in 9 seconds. What is the length of the train?
Solution:
60km/hr = 60 ×
5
18
=
50
3
m/s
The length of both the train is
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 5 / 18
15. Problems on Trains Problems on Pole/Man standing in the platform
Q1 A train running at the speed of 60 km/hr. It crosses a certain
pole that is in the way in 9 seconds. What is the length of the train?
Solution:
60km/hr = 60 ×
5
18
=
50
3
m/s
The length of both the train is
Distance = Speed × Time
=
50
3
× 9
= 150 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 5 / 18
16. Problems on Trains Problems on Pole/Man standing in the platform
Q2 A train running at the speed of 56 km/hr crosses a pole in 18
seconds. What is the length of the train?
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 6 / 18
17. Problems on Trains Problems on Pole/Man standing in the platform
Q2 A train running at the speed of 56 km/hr crosses a pole in 18
seconds. What is the length of the train?
Solution:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 6 / 18
18. Problems on Trains Problems on Pole/Man standing in the platform
Q2 A train running at the speed of 56 km/hr crosses a pole in 18
seconds. What is the length of the train?
Solution:
56km/hr = 56 ×
5
18
=
140
9
m/s
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 6 / 18
19. Problems on Trains Problems on Pole/Man standing in the platform
Q2 A train running at the speed of 56 km/hr crosses a pole in 18
seconds. What is the length of the train?
Solution:
56km/hr = 56 ×
5
18
=
140
9
m/s
The length of both the train is
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 6 / 18
20. Problems on Trains Problems on Pole/Man standing in the platform
Q2 A train running at the speed of 56 km/hr crosses a pole in 18
seconds. What is the length of the train?
Solution:
56km/hr = 56 ×
5
18
=
140
9
m/s
The length of both the train is
Distance = Speed × Time
=
140
9
× 18
= 280 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 6 / 18
21. Problems on Trains Problems on Pole/Man standing in the platform
Q3 A train moving at speed of 90 km/hr crosses a pole in 7 seconds.
Find the length of the train.
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 7 / 18
22. Problems on Trains Problems on Pole/Man standing in the platform
Q3 A train moving at speed of 90 km/hr crosses a pole in 7 seconds.
Find the length of the train.
Solution:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 7 / 18
23. Problems on Trains Problems on Pole/Man standing in the platform
Q3 A train moving at speed of 90 km/hr crosses a pole in 7 seconds.
Find the length of the train.
Solution:
90km/hr = 90 ×
5
18
= 25 m/s
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 7 / 18
24. Problems on Trains Problems on Pole/Man standing in the platform
Q3 A train moving at speed of 90 km/hr crosses a pole in 7 seconds.
Find the length of the train.
Solution:
90km/hr = 90 ×
5
18
= 25 m/s
The length of both the train is
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 7 / 18
25. Problems on Trains Problems on Pole/Man standing in the platform
Q3 A train moving at speed of 90 km/hr crosses a pole in 7 seconds.
Find the length of the train.
Solution:
90km/hr = 90 ×
5
18
= 25 m/s
The length of both the train is
Distance = Speed × Time
= 25 × 7
= 175 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 7 / 18
26. Problems on Trains Platform/Bridge/Tunnel
Q1 A 90 m long train is running at a speed of 54 km/hr. If it takes
30 seconds to cross a platform, find the length of the platform.
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 8 / 18
27. Problems on Trains Platform/Bridge/Tunnel
Q1 A 90 m long train is running at a speed of 54 km/hr. If it takes
30 seconds to cross a platform, find the length of the platform.
Solution:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 8 / 18
28. Problems on Trains Platform/Bridge/Tunnel
Q1 A 90 m long train is running at a speed of 54 km/hr. If it takes
30 seconds to cross a platform, find the length of the platform.
Solution:
54 kmph = 54 × 5
18 = 15 m/s
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 8 / 18
29. Problems on Trains Platform/Bridge/Tunnel
Q1 A 90 m long train is running at a speed of 54 km/hr. If it takes
30 seconds to cross a platform, find the length of the platform.
Solution:
54 kmph = 54 × 5
18 = 15 m/s
Time to cross the bridge = 30 sec
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 8 / 18
30. Problems on Trains Platform/Bridge/Tunnel
Q1 A 90 m long train is running at a speed of 54 km/hr. If it takes
30 seconds to cross a platform, find the length of the platform.
Solution:
54 kmph = 54 × 5
18 = 15 m/s
Time to cross the bridge = 30 sec
Distance to cross the platform
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 8 / 18
31. Problems on Trains Platform/Bridge/Tunnel
Q1 A 90 m long train is running at a speed of 54 km/hr. If it takes
30 seconds to cross a platform, find the length of the platform.
Solution:
54 kmph = 54 × 5
18 = 15 m/s
Time to cross the bridge = 30 sec
Distance to cross the platform
Distance = Speed × Time
= 15 × 30 = 450 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 8 / 18
32. Problems on Trains Platform/Bridge/Tunnel
Q1 A 90 m long train is running at a speed of 54 km/hr. If it takes
30 seconds to cross a platform, find the length of the platform.
Solution:
54 kmph = 54 × 5
18 = 15 m/s
Time to cross the bridge = 30 sec
Distance to cross the platform
Distance = Speed × Time
= 15 × 30 = 450 m
Distance to cross the platform =length of train + length of platform
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 8 / 18
33. Problems on Trains Platform/Bridge/Tunnel
Q1 A 90 m long train is running at a speed of 54 km/hr. If it takes
30 seconds to cross a platform, find the length of the platform.
Solution:
54 kmph = 54 × 5
18 = 15 m/s
Time to cross the bridge = 30 sec
Distance to cross the platform
Distance = Speed × Time
= 15 × 30 = 450 m
Distance to cross the platform =length of train + length of platform
Length of platform=450-90=360 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 8 / 18
34. Problems on Trains Platform/Bridge/Tunnel
Q2 A train 175 m long crosses a bridge which is 125 m long in 80
seconds. What is the speed of the train?
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 9 / 18
35. Problems on Trains Platform/Bridge/Tunnel
Q2 A train 175 m long crosses a bridge which is 125 m long in 80
seconds. What is the speed of the train?
Solution:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 9 / 18
36. Problems on Trains Platform/Bridge/Tunnel
Q2 A train 175 m long crosses a bridge which is 125 m long in 80
seconds. What is the speed of the train?
Solution:
Length of Train = 175 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 9 / 18
37. Problems on Trains Platform/Bridge/Tunnel
Q2 A train 175 m long crosses a bridge which is 125 m long in 80
seconds. What is the speed of the train?
Solution:
Length of Train = 175 m Length of bridge = 125 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 9 / 18
38. Problems on Trains Platform/Bridge/Tunnel
Q2 A train 175 m long crosses a bridge which is 125 m long in 80
seconds. What is the speed of the train?
Solution:
Length of Train = 175 m Length of bridge = 125 m
Distance to cross the bridge =length of train + length of bridge
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 9 / 18
39. Problems on Trains Platform/Bridge/Tunnel
Q2 A train 175 m long crosses a bridge which is 125 m long in 80
seconds. What is the speed of the train?
Solution:
Length of Train = 175 m Length of bridge = 125 m
Distance to cross the bridge =length of train + length of bridge
Distance to cross the bridge =175+125=400 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 9 / 18
40. Problems on Trains Platform/Bridge/Tunnel
Q2 A train 175 m long crosses a bridge which is 125 m long in 80
seconds. What is the speed of the train?
Solution:
Length of Train = 175 m Length of bridge = 125 m
Distance to cross the bridge =length of train + length of bridge
Distance to cross the bridge =175+125=400 m
Speed of the train is
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 9 / 18
41. Problems on Trains Platform/Bridge/Tunnel
Q2 A train 175 m long crosses a bridge which is 125 m long in 80
seconds. What is the speed of the train?
Solution:
Length of Train = 175 m Length of bridge = 125 m
Distance to cross the bridge =length of train + length of bridge
Distance to cross the bridge =175+125=400 m
Speed of the train is
Speed =
Distance
Time
=
400
80
= 5 m/sec
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 9 / 18
42. Problems on Trains Platform/Bridge/Tunnel
Q3 A train 220 m long is running at a speed of 36 km/hr. What time
will it take to cross a 110 m long tunnel?
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 10 / 18
43. Problems on Trains Platform/Bridge/Tunnel
Q3 A train 220 m long is running at a speed of 36 km/hr. What time
will it take to cross a 110 m long tunnel?
Solution:
Length of Train = 220 m, Length of tunnel = 110 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 10 / 18
44. Problems on Trains Platform/Bridge/Tunnel
Q3 A train 220 m long is running at a speed of 36 km/hr. What time
will it take to cross a 110 m long tunnel?
Solution:
Length of Train = 220 m, Length of tunnel = 110 m
Total length=220+110=330 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 10 / 18
45. Problems on Trains Platform/Bridge/Tunnel
Q3 A train 220 m long is running at a speed of 36 km/hr. What time
will it take to cross a 110 m long tunnel?
Solution:
Length of Train = 220 m, Length of tunnel = 110 m
Total length=220+110=330 m Speed of train 36 km/hr
36kmph = 36 × 5
18 = 10 m/s
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 10 / 18
46. Problems on Trains Platform/Bridge/Tunnel
Q3 A train 220 m long is running at a speed of 36 km/hr. What time
will it take to cross a 110 m long tunnel?
Solution:
Length of Train = 220 m, Length of tunnel = 110 m
Total length=220+110=330 m Speed of train 36 km/hr
36kmph = 36 × 5
18 = 10 m/s
The time taken by a train to cross the tunnel is:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 10 / 18
47. Problems on Trains Platform/Bridge/Tunnel
Q3 A train 220 m long is running at a speed of 36 km/hr. What time
will it take to cross a 110 m long tunnel?
Solution:
Length of Train = 220 m, Length of tunnel = 110 m
Total length=220+110=330 m Speed of train 36 km/hr
36kmph = 36 × 5
18 = 10 m/s
The time taken by a train to cross the tunnel is:
Time =
Distance
Speed
=
330
10
= 33 seconds
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 10 / 18
48. Problems on Trains Platform/Bridge/Tunnel
Q4 Find the time taken by 150 m long train passes through a bridge
which is 100 m long, running at a speed of 72 km/hr.
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 11 / 18
49. Problems on Trains Platform/Bridge/Tunnel
Q4 Find the time taken by 150 m long train passes through a bridge
which is 100 m long, running at a speed of 72 km/hr.
Solution:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 11 / 18
50. Problems on Trains Platform/Bridge/Tunnel
Q4 Find the time taken by 150 m long train passes through a bridge
which is 100 m long, running at a speed of 72 km/hr.
Solution:
Length of Train = 150 m, Length of bridge = 100 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 11 / 18
51. Problems on Trains Platform/Bridge/Tunnel
Q4 Find the time taken by 150 m long train passes through a bridge
which is 100 m long, running at a speed of 72 km/hr.
Solution:
Length of Train = 150 m, Length of bridge = 100 m
Total length=150+100=250 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 11 / 18
52. Problems on Trains Platform/Bridge/Tunnel
Q4 Find the time taken by 150 m long train passes through a bridge
which is 100 m long, running at a speed of 72 km/hr.
Solution:
Length of Train = 150 m, Length of bridge = 100 m
Total length=150+100=250 m Speed of train 72 km/hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 11 / 18
53. Problems on Trains Platform/Bridge/Tunnel
Q4 Find the time taken by 150 m long train passes through a bridge
which is 100 m long, running at a speed of 72 km/hr.
Solution:
Length of Train = 150 m, Length of bridge = 100 m
Total length=150+100=250 m Speed of train 72 km/hr
72kmph = 72 × 5
18 = 20 m/s
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 11 / 18
54. Problems on Trains Platform/Bridge/Tunnel
Q4 Find the time taken by 150 m long train passes through a bridge
which is 100 m long, running at a speed of 72 km/hr.
Solution:
Length of Train = 150 m, Length of bridge = 100 m
Total length=150+100=250 m Speed of train 72 km/hr
72kmph = 72 × 5
18 = 20 m/s
The time taken by a train to cross the tunnel is:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 11 / 18
55. Problems on Trains Platform/Bridge/Tunnel
Q4 Find the time taken by 150 m long train passes through a bridge
which is 100 m long, running at a speed of 72 km/hr.
Solution:
Length of Train = 150 m, Length of bridge = 100 m
Total length=150+100=250 m Speed of train 72 km/hr
72kmph = 72 × 5
18 = 20 m/s
The time taken by a train to cross the tunnel is:
Time =
Distance
Speed
=
250
20
= 12.5 seconds
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 11 / 18
56. Problems on Trains Moving in the Opposite direction
Q1 Two trains, each 100 m long, moving in opposite directions, cross
each other in 8 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 12 / 18
57. Problems on Trains Moving in the Opposite direction
Q1 Two trains, each 100 m long, moving in opposite directions, cross
each other in 8 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 12 / 18
58. Problems on Trains Moving in the Opposite direction
Q1 Two trains, each 100 m long, moving in opposite directions, cross
each other in 8 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 12 / 18
59. Problems on Trains Moving in the Opposite direction
Q1 Two trains, each 100 m long, moving in opposite directions, cross
each other in 8 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 12 / 18
60. Problems on Trains Moving in the Opposite direction
Q1 Two trains, each 100 m long, moving in opposite directions, cross
each other in 8 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 12 / 18
61. Problems on Trains Moving in the Opposite direction
Q1 Two trains, each 100 m long, moving in opposite directions, cross
each other in 8 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 12 / 18
62. Problems on Trains Moving in the Opposite direction
Q1 Two trains, each 100 m long, moving in opposite directions, cross
each other in 8 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 12 / 18
63. Problems on Trains Moving in the Opposite direction
Q1 Two trains, each 100 m long, moving in opposite directions, cross
each other in 8 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
In this case the length of both the trains is equal to
the distance traveled.
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 12 / 18
64. Problems on Trains Moving in the Opposite direction
Q1 Two trains, each 100 m long, moving in opposite directions, cross
each other in 8 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
In this case the length of both the trains is equal to
the distance traveled.
T ime =
Distance
Speed
8 =
200
x + y
=
200
x + 2x
3x =
200
8
= 25
x =
25
3
m/sec
=
25
3
×
18
5
km/sec
= 30 km/hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 12 / 18
65. Problems on Trains Moving in the Opposite direction
Q1 Two trains, each 100 m long, moving in opposite directions, cross
each other in 8 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
In this case the length of both the trains is equal to
the distance traveled.
T ime =
Distance
Speed
8 =
200
x + y
=
200
x + 2x
3x =
200
8
= 25
x =
25
3
m/sec
=
25
3
×
18
5
km/sec
= 30 km/hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 12 / 18
66. Problems on Trains Moving in the Opposite direction
Q1 Two trains, each 100 m long, moving in opposite directions, cross
each other in 8 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
In this case the length of both the trains is equal to
the distance traveled.
T ime =
Distance
Speed
8 =
200
x + y
=
200
x + 2x
3x =
200
8
= 25
x =
25
3
m/sec
=
25
3
×
18
5
km/sec
= 30 km/hr
y = 2x = 2 × 30 km/hr
= 60 km/hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 12 / 18
67. Problems on Trains Moving in the Opposite direction
Q2 Two trains, each 100 m long, moving in opposite directions, cross
each other in 12 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 13 / 18
68. Problems on Trains Moving in the Opposite direction
Q2 Two trains, each 100 m long, moving in opposite directions, cross
each other in 12 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 13 / 18
69. Problems on Trains Moving in the Opposite direction
Q2 Two trains, each 100 m long, moving in opposite directions, cross
each other in 12 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 13 / 18
70. Problems on Trains Moving in the Opposite direction
Q2 Two trains, each 100 m long, moving in opposite directions, cross
each other in 12 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 13 / 18
71. Problems on Trains Moving in the Opposite direction
Q2 Two trains, each 100 m long, moving in opposite directions, cross
each other in 12 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 13 / 18
72. Problems on Trains Moving in the Opposite direction
Q2 Two trains, each 100 m long, moving in opposite directions, cross
each other in 12 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 13 / 18
73. Problems on Trains Moving in the Opposite direction
Q2 Two trains, each 100 m long, moving in opposite directions, cross
each other in 12 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 13 / 18
74. Problems on Trains Moving in the Opposite direction
Q2 Two trains, each 100 m long, moving in opposite directions, cross
each other in 12 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
In this case the length of both the trains is equal to
the distance traveled.
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 13 / 18
75. Problems on Trains Moving in the Opposite direction
Q2 Two trains, each 100 m long, moving in opposite directions, cross
each other in 12 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
In this case the length of both the trains is equal to
the distance traveled.
T ime =
Distance
Speed
12 =
200
x + y
=
200
x + 2x
3x =
200
12
=
50
3
m/sec
x =
50
9
m/sec
=
50
9
×
18
5
km/sec
= 20 km/hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 13 / 18
76. Problems on Trains Moving in the Opposite direction
Q2 Two trains, each 100 m long, moving in opposite directions, cross
each other in 12 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
In this case the length of both the trains is equal to
the distance traveled.
T ime =
Distance
Speed
12 =
200
x + y
=
200
x + 2x
3x =
200
12
=
50
3
m/sec
x =
50
9
m/sec
=
50
9
×
18
5
km/sec
= 20 km/hr
y = 2x = 2 × 20 km/hr
= 40 km/hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 13 / 18
77. Problems on Trains Moving in the Opposite direction
Q2 Two trains, each 100 m long, moving in opposite directions, cross
each other in 12 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
In this case the length of both the trains is equal to
the distance traveled.
T ime =
Distance
Speed
12 =
200
x + y
=
200
x + 2x
3x =
200
12
=
50
3
m/sec
x =
50
9
m/sec
=
50
9
×
18
5
km/sec
= 20 km/hr
y = 2x = 2 × 20 km/hr
= 40 km/hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 13 / 18
78. Problems on Trains Moving in the Opposite direction
Q3 Two trains, each 100 m long, moving in opposite directions, cross
each other in 20 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 14 / 18
79. Problems on Trains Moving in the Opposite direction
Q3 Two trains, each 100 m long, moving in opposite directions, cross
each other in 20 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 14 / 18
80. Problems on Trains Moving in the Opposite direction
Q3 Two trains, each 100 m long, moving in opposite directions, cross
each other in 20 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 14 / 18
81. Problems on Trains Moving in the Opposite direction
Q3 Two trains, each 100 m long, moving in opposite directions, cross
each other in 20 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 14 / 18
82. Problems on Trains Moving in the Opposite direction
Q3 Two trains, each 100 m long, moving in opposite directions, cross
each other in 20 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 14 / 18
83. Problems on Trains Moving in the Opposite direction
Q3 Two trains, each 100 m long, moving in opposite directions, cross
each other in 20 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 14 / 18
84. Problems on Trains Moving in the Opposite direction
Q3 Two trains, each 100 m long, moving in opposite directions, cross
each other in 20 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
In this case the length of both the trains is equal to
the distance traveled.
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 14 / 18
85. Problems on Trains Moving in the Opposite direction
Q3 Two trains, each 100 m long, moving in opposite directions, cross
each other in 20 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
In this case the length of both the trains is equal to
the distance traveled.
T ime =
Distance
Speed
20 =
200
x + y
=
200
x + 2x
3x =
200
20
= 10 m/sec
x =
10
3
m/sec
=
10
3
×
18
5
km/sec
= 12 km/hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 14 / 18
86. Problems on Trains Moving in the Opposite direction
Q3 Two trains, each 100 m long, moving in opposite directions, cross
each other in 20 seconds. If one is moving twice as fast the other,
then the speed of the faster train is
Solution:
x is the speed of first train
y is the speed of second train
Speed of one train is twice the speed of the other train
y = 2x
Total length of both the trains is 100+100 = 200 m
Distance = Speed × T ime
In this case the length of both the trains is equal to
the distance traveled.
T ime =
Distance
Speed
20 =
200
x + y
=
200
x + 2x
3x =
200
20
= 10 m/sec
x =
10
3
m/sec
=
10
3
×
18
5
km/sec
= 12 km/hr
y = 2x = 2 × 12 km/hr
= 24 km/hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 14 / 18
87. Problems on Trains Moving in the Opposite direction
Q4 Two trains of length 150 m and 170 m respectively are running at
the speed of 40 km/hr and 32 km/hr on parallel tracks in opposite
directions. In what time will they cross each other?
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 15 / 18
88. Problems on Trains Moving in the Opposite direction
Q4 Two trains of length 150 m and 170 m respectively are running at
the speed of 40 km/hr and 32 km/hr on parallel tracks in opposite
directions. In what time will they cross each other?
Solution:
Relative speed of train = (40+32) km/hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 15 / 18
89. Problems on Trains Moving in the Opposite direction
Q4 Two trains of length 150 m and 170 m respectively are running at
the speed of 40 km/hr and 32 km/hr on parallel tracks in opposite
directions. In what time will they cross each other?
Solution:
Relative speed of train = (40+32) km/hr
72km/hr = 72 ×
5
18
m/sec
= 20m/sec
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 15 / 18
90. Problems on Trains Moving in the Opposite direction
Q4 Two trains of length 150 m and 170 m respectively are running at
the speed of 40 km/hr and 32 km/hr on parallel tracks in opposite
directions. In what time will they cross each other?
Solution:
Relative speed of train = (40+32) km/hr
72km/hr = 72 ×
5
18
m/sec
= 20m/sec
Total length of both the trains is
150 + 170 = 320 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 15 / 18
91. Problems on Trains Moving in the Opposite direction
Q4 Two trains of length 150 m and 170 m respectively are running at
the speed of 40 km/hr and 32 km/hr on parallel tracks in opposite
directions. In what time will they cross each other?
Solution:
Relative speed of train = (40+32) km/hr
72km/hr = 72 ×
5
18
m/sec
= 20m/sec
Total length of both the trains is
150 + 170 = 320 m
Time to cross each other is
Time =
Distance
Speed
=
320
20
= 16 sec
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 15 / 18
92. Problems on Trains Moving in the Same Direction
Q1 A train of 900 m long moves at 90 kmph can cross another train
of 1200 m long moving in the same direction in 3 min. What is the
speed of the second train?
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 16 / 18
93. Problems on Trains Moving in the Same Direction
Q1 A train of 900 m long moves at 90 kmph can cross another train
of 1200 m long moving in the same direction in 3 min. What is the
speed of the second train?
Solution:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 16 / 18
94. Problems on Trains Moving in the Same Direction
Q1 A train of 900 m long moves at 90 kmph can cross another train
of 1200 m long moving in the same direction in 3 min. What is the
speed of the second train?
Solution:
time t = 3 min or
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 16 / 18
95. Problems on Trains Moving in the Same Direction
Q1 A train of 900 m long moves at 90 kmph can cross another train
of 1200 m long moving in the same direction in 3 min. What is the
speed of the second train?
Solution:
time t = 3 min or
time t = 3
60 = 1
20hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 16 / 18
96. Problems on Trains Moving in the Same Direction
Q1 A train of 900 m long moves at 90 kmph can cross another train
of 1200 m long moving in the same direction in 3 min. What is the
speed of the second train?
Solution:
time t = 3 min or
time t = 3
60 = 1
20hr
Total length of both the trains is
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 16 / 18
97. Problems on Trains Moving in the Same Direction
Q1 A train of 900 m long moves at 90 kmph can cross another train
of 1200 m long moving in the same direction in 3 min. What is the
speed of the second train?
Solution:
time t = 3 min or
time t = 3
60 = 1
20hr
Total length of both the trains is
1200 + 900 = 2100 = 2.1km
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 16 / 18
98. Problems on Trains Moving in the Same Direction
Q1 A train of 900 m long moves at 90 kmph can cross another train
of 1200 m long moving in the same direction in 3 min. What is the
speed of the second train?
Solution:
time t = 3 min or
time t = 3
60 = 1
20hr
Total length of both the trains is
1200 + 900 = 2100 = 2.1km
Distance = Speed × Time
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 16 / 18
99. Problems on Trains Moving in the Same Direction
Q1 A train of 900 m long moves at 90 kmph can cross another train
of 1200 m long moving in the same direction in 3 min. What is the
speed of the second train?
Solution:
time t = 3 min or
time t = 3
60 = 1
20hr
Total length of both the trains is
1200 + 900 = 2100 = 2.1km
Distance = Speed × Time
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 16 / 18
100. Problems on Trains Moving in the Same Direction
Q1 A train of 900 m long moves at 90 kmph can cross another train
of 1200 m long moving in the same direction in 3 min. What is the
speed of the second train?
Solution:
time t = 3 min or
time t = 3
60 = 1
20hr
Total length of both the trains is
1200 + 900 = 2100 = 2.1km
Distance = Speed × Time
Speed =
Distance
Time
90 − x =
2.1
1/20
= 42
x = 90 − 42 = 48 km/hr
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 16 / 18
101. Problems on Trains Moving in the Same Direction
Q2 Two trains 130 m and 140 m long are running on parallel tracks in
the same direction with a speed of 68 km/hr and 50 km/hr. How
long will it take to clear off each other from the moment they meet?
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 17 / 18
102. Problems on Trains Moving in the Same Direction
Q2 Two trains 130 m and 140 m long are running on parallel tracks in
the same direction with a speed of 68 km/hr and 50 km/hr. How
long will it take to clear off each other from the moment they meet?
Solution:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 17 / 18
103. Problems on Trains Moving in the Same Direction
Q2 Two trains 130 m and 140 m long are running on parallel tracks in
the same direction with a speed of 68 km/hr and 50 km/hr. How
long will it take to clear off each other from the moment they meet?
Solution:
Relative speed of trains
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 17 / 18
104. Problems on Trains Moving in the Same Direction
Q2 Two trains 130 m and 140 m long are running on parallel tracks in
the same direction with a speed of 68 km/hr and 50 km/hr. How
long will it take to clear off each other from the moment they meet?
Solution:
Relative speed of trains
= 68 − 50 = 18 km/hr
= 18 ×
5
18
= 5 m/sec
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 17 / 18
105. Problems on Trains Moving in the Same Direction
Q2 Two trains 130 m and 140 m long are running on parallel tracks in
the same direction with a speed of 68 km/hr and 50 km/hr. How
long will it take to clear off each other from the moment they meet?
Solution:
Relative speed of trains
= 68 − 50 = 18 km/hr
= 18 ×
5
18
= 5 m/sec
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 17 / 18
106. Problems on Trains Moving in the Same Direction
Q2 Two trains 130 m and 140 m long are running on parallel tracks in
the same direction with a speed of 68 km/hr and 50 km/hr. How
long will it take to clear off each other from the moment they meet?
Solution:
Relative speed of trains
= 68 − 50 = 18 km/hr
= 18 ×
5
18
= 5 m/sec
Total length of both the trains
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 17 / 18
107. Problems on Trains Moving in the Same Direction
Q2 Two trains 130 m and 140 m long are running on parallel tracks in
the same direction with a speed of 68 km/hr and 50 km/hr. How
long will it take to clear off each other from the moment they meet?
Solution:
Relative speed of trains
= 68 − 50 = 18 km/hr
= 18 ×
5
18
= 5 m/sec
Total length of both the trains
130+140=270 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 17 / 18
108. Problems on Trains Moving in the Same Direction
Q2 Two trains 130 m and 140 m long are running on parallel tracks in
the same direction with a speed of 68 km/hr and 50 km/hr. How
long will it take to clear off each other from the moment they meet?
Solution:
Relative speed of trains
= 68 − 50 = 18 km/hr
= 18 ×
5
18
= 5 m/sec
Total length of both the trains
130+140=270 m
Time to clear off each other
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 17 / 18
109. Problems on Trains Moving in the Same Direction
Q2 Two trains 130 m and 140 m long are running on parallel tracks in
the same direction with a speed of 68 km/hr and 50 km/hr. How
long will it take to clear off each other from the moment they meet?
Solution:
Relative speed of trains
= 68 − 50 = 18 km/hr
= 18 ×
5
18
= 5 m/sec
Total length of both the trains
130+140=270 m
Time to clear off each other
Time =
Distance
Speed
=
270
5
= 54 sec
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 17 / 18
110. Problems on Trains Moving in the Same Direction
Q3 The two trains are running on parallel tracks in the same direction
at 70 km/hr and 50 km/hr respectively. The faster train passes a
man 27 second faster than the slower train. Find the length of the
faster train.
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 18 / 18
111. Problems on Trains Moving in the Same Direction
Q3 The two trains are running on parallel tracks in the same direction
at 70 km/hr and 50 km/hr respectively. The faster train passes a
man 27 second faster than the slower train. Find the length of the
faster train.
Solution:
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 18 / 18
112. Problems on Trains Moving in the Same Direction
Q3 The two trains are running on parallel tracks in the same direction
at 70 km/hr and 50 km/hr respectively. The faster train passes a
man 27 second faster than the slower train. Find the length of the
faster train.
Solution:
Relative speed of trains
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 18 / 18
113. Problems on Trains Moving in the Same Direction
Q3 The two trains are running on parallel tracks in the same direction
at 70 km/hr and 50 km/hr respectively. The faster train passes a
man 27 second faster than the slower train. Find the length of the
faster train.
Solution:
Relative speed of trains
= 70 − 50 = 20 km/hr
= 20 ×
5
18
=
50
9
m/sec
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 18 / 18
114. Problems on Trains Moving in the Same Direction
Q3 The two trains are running on parallel tracks in the same direction
at 70 km/hr and 50 km/hr respectively. The faster train passes a
man 27 second faster than the slower train. Find the length of the
faster train.
Solution:
Relative speed of trains
= 70 − 50 = 20 km/hr
= 20 ×
5
18
=
50
9
m/sec
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 18 / 18
115. Problems on Trains Moving in the Same Direction
Q3 The two trains are running on parallel tracks in the same direction
at 70 km/hr and 50 km/hr respectively. The faster train passes a
man 27 second faster than the slower train. Find the length of the
faster train.
Solution:
Relative speed of trains
= 70 − 50 = 20 km/hr
= 20 ×
5
18
=
50
9
m/sec
Length of the faster train
Distance = Time × Speed
=
50
9
× 27 = 150 m
Dr. Manjunatha. P (JNNCE) Quantitative Aptitude: Problems on Trains October 19, 2022 18 / 18