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