This document contains 15 multi-part math word problems involving speed, distance, and time calculations related to scenarios involving vehicles like trains, boats, and people walking or running. The problems cover concepts like relative speed, speed with/against current, catching up, passing events, and meeting times. The reader is asked to calculate values like travel distances, speeds, times to meet/pass, and time/distance differences between events based on the information provided for each scenario.

1. Time Speed
Distance-2

2. 1. Two men A and B started from their home, 200km apart, towards each other alone the
same route with speeds 20km/h and 30 km/h respectively. Find
a) Distance travelled by A in 1 hr.
b) Distance travelled by B in 1 hr.
c) Distance between them after 1 hr.
d) Relative speed of A with respect to B.
e) In how much time from the start will they meet?

3. 2. Two P and Q colleagues started from their home, 40 km apart, to their friend R’s home.
Houses of P, Q and R are in the same order.
a) Distance travelled by P in 1 hr.
b) Distance travelled by Q in 1 hr.
c) Distance between them after 1 hr.
d) Relative speed of P with respect to Q.
e) In how much time from the start will P catch

4. 3. A thief robs a house at 12 midnight, and as soon as he leaves the house, the house owner
realises the robbery in the house. After 10 minutes he rings the alert alarm, and the
security guard of the house start running after the thief to catch him. If the speed of the
thief is 30 km/hr and that of the security guard is 20 km/hr, then at what time will the guard
catch the thief
a) 00.30 hrs
b) 00.40 hrs
c) Never catch the thief
d) 00.45 hrs

5. 4. A thief robs a house at 12 midnight, and as soon as he leaves the house, the house owner
realises the robbery in the house. After 10 minutes he rings the alert alarm, and the
security guard of the house start running after the thief to catch him. If the speed of the
thief is 20 km/hr and that of the security guard is 30 km/hr, then at what time will the guard
catch the thief?
a) 00.30 hrs
b) 00.40 hrs
c) 00.20 hrs.
d) 00.45 hrs

6. 5. Two men A and B start from two points P and Q (300km apart) respectively with respective
speeds 40 km/hr and 60 km/hr.
a) When will they meet?
b) After meeting they continue their journey. They reach their destination and immediately
turn around to travel back to their original place. When will they meet for the second
time?
c) What is the ratio of the distances covered by them?

7. 6. A bike during a fog passed a man who was walking at the rate of 3 km/hr in the same
direction. He could see the bike for 4 min and it was visible to him up to a distance of
100 m. What was the speed of the bike?
a) 41 3 km/hr
b) 4 2 3 km/hr
c) 4 1 2 km/hr
d) 4 km/hr
e) None of these

8. 7. A train 150 m long takes 9 sec to cross a man walking at 8 kmph in a direction opposite to
that of the train. Find the speed (in km/hr) of the train.
a) 72
b) 60
c) 54
d) 52

9. 8. A train speeds past a pole in 15 sec and past a platform 100 m long in 30 sec. Find the
length (in m) of the train.
a) 200
b) 100
c) 300
d) 150

10. 9. A train passes two person walking in the same direction at a speed of 3 km/hr and 5
km/hr respectively in 10 seconds and 11 seconds respectively. The speed of the train is
a) 28 km/hr
b) 27 km/hr
c) 25 km/hr
d) 24 km/hr

11. 10. Answer the Following questions based on the give information. Two stations Rampur and
Shampur are 110 km apart on a straight line. One train starts from Shampur at 7 a.m. and
travels towards Rampur at 20 km/hr. Another train starts from Rampur at 8 am, and travels
towards Shampur at 30 km/hr.
i. What time will the two trains meet each other?
(a)8:48 am. (b) 8:30 am.
(c) 9:48 am. (d) 9:30 am
ii. At what distance from shampur will they meet each other?
(a) 56km (b) 66km
(c) 36km (d) 54km

12. 11. Two trains of length 120 m and 180 m run on parallel lines. When they run in the same
direction it will take 15 sec to cross each other and when they run in opposite direction it
will take 5 sec. find the speeds of the two trains.
a) 126 km/hr, 96 km/hr
b) 144 km/hr, 72 km/hr
c) 100 km/hr, 90 km/hr
d) 162 km/hr, 90 km/hr

13. 12. Sam runs at a speed of 20 m/min. Sandra follows him after an interval of 5 minutes, and
runs at a speed of 25 m/min. Sandra's dog runs at a speed of 30 m/min, and starts along
with Sandra. The dog reaches Sam and then comes back to Sandra, and continues to do
so till Sandra catches Sam. What is the total distance covered by the dog?
a) 450 m
b) 600 m
c) 750 m
d) 900 m

14. 13. A man can swim 3 km/hr in still water. If the velocity of the stream is 2 km/hr, the time
taken by him to swim to a place 10 km upstream and back is
a) 9 1/3 hr
b) 10 hr
c) 12 hr
d) 8 1/3 hr

15. 14. A boat travels 24 km upstream in 6 hours and 20 km downstream in 4 hours. Then the
speed of boat in still water and the speed of water current are respectively:
a) 4 kmph and 3 kmph
b) 4.5 kmph and 0.5 kmph
c) 4 kmph and 2 kmph
d) 5 kmph and 2 kmph

16. 15. Two boats A and B start towards each other from two places, 108 km apart. Speeds
of the boats A and B in still water are 12km/hr and 15km/hr respectively. If A proceeds
down and B up the stream, they will meet after
a) 4.5 hours
b) 4 hours
c) 5.4 hours
d) 6 hours

17. Direction (Q16 to Q17) Answer the questions based on the following information
Ram and shyam run a race between points A and B 5 km apart. Ram starts at 9 am from
A at a speed of 5 km/h; reaches B and returns to A at the same speed shyam starts at 9:45
am from A at a speed of 10 km/h, reaches B and comes back to A at the same speed.(2005)
16. At what time do Ram and Shyam first meet each other?
a) 10 am
b) 10:10 am
c) 10:20 am
d) 10:30 am

18. Direction (Q16 to Q17) Answer the questions based on the following information
Ram and shyam run a race between points A and B 5 km apart. Ram starts at 9 am from
A at a speed of 5 km/h; reaches B and returns to A at the same speed shyam starts at 9:45
am from A at a speed of 10 km/h, reaches B and comes back to A at the same speed.(2005)
17. At what time does shyam overtake Ram?
a) 10:20 am
b) 10:30 am
c) 10:40 am
d) 10:50 am

19. Direction (Q18 to Q19) Answer the questions based on the following information
Cities A and B are in different time Zones A is located 3000 km East of B The table below
describes the schedule of an airline operating non-stop flights between A and B. All the time
indicated are local and on the same day Assume that planes cruise at the same speed in both
directions. However; the effective speed is influenced by a steady wind blowing from East to
West at 50 km/h (2007)
18. What is the time difference between A and B?
a) 2 h
b) 2 h and 30 min
c) 1 h
d) 1 h and 30 min
e) Cannot be determined
Departure Arrival
City Time City Time
B 8:00 AM A
3:00
PM
A 4:00 PM B 8:00

20. Direction (Q18 to Q19) Answer the questions based on the following information
Cities A and B are in different time Zones A is located 3000 km East of B The table below
describes the schedule of an airline operating non-stop flights between A and B. All the time
indicated are local and on the same day Assume that planes cruise at the same speed in both
directions. However; the effective speed is influenced by a steady wind blowing from East to
West at 50 km/h (2007)
19. What is the plane’s cruising speed in km/h?
a) 550
b) 600
c) 500
d) 700
e) Cannot be determined
Departure Arrival
City Time City Time
B 8:00 AM A
3:00
PM
A 4:00 PM B 8:00

21. Direction (Q20 to Q21) Answer the questions based on the following information
Taj Express started at 11 am from Delhi to Jhansi with a speed of 72 km/h. After two hours,
Qutub Express leaves Jhansi towards Delhi with a speed of 90 km/h. The two trains expected
to cross each at 3:30 pm. But at 2 pm due to some signal problem the speed of both trains
reduced by same quantity, then they cross each other 6:30 pm (2013)
20. What is new speed of the Taj Express after the reduction in speed?
a) 18 km/h
b) 36 km/h
c) 45 km/h
d) 54 km/h

22. Direction (Q20 to Q21) Answer the questions based on the following information
Taj Express started at 11 am from Delhi to Jhansi with a speed of 72 km/h. After two hours,
Qutub Express leaves Jhansi towards Delhi with a speed of 90 km/h. The two trains expected
to cross each at 3:30 pm. But at 2 pm due to some signal problem the speed of both trains
reduced by same quantity, then they cross each other 6:30 pm (2013)
21. If the signal problem had occurred at 3:00 pm instead of 2:00 pm, at what time would
the two trains have crossed each other?
a) 5:00 pm
b) 4:00 pm
c) 3:30 pm
d) 4:30 pm

23. Thanks!