Time and Distance Solved Problems

1. A certain distance is covered by a train with a certain speed. If half the distance is covered in double time, then the ratio of this speed to that of the original one is
a) 1 : 4
b) 4 : 1
c) 1 : 2
d) 2 : 1
Answer :   A

2. A man makes his upward journey at 16 km/h and downward journey at 28 km/h. What is his average speed?
a) 32 km/h
b) 56 km/h
c) 20.36 km/h
d) 22 km/h
Answer :  C

3. Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11 seconds after 5 he sees it strike the tree. How far is the man from the wood chopper?
a) 2197 ft
b) 2420 ft
c) 2500 ft
d) 2629 ft
Answer :  B

4. A salesman travels a distance of 50 km in 2 hours and 30 minutes. How much faster, in kilometres per hour, on an average, must he travel to make such a trip in 5 hour less time?
a) 10
b) 20
c) 30
d) None of these
Answer :  A

5. Two persons A and B started from two different places towards each other. If the ratio of their speed be 3 : 5, then what is the ratio of distance covered by A and B respectively till the point of meeting?
a) 1 : 2
b) 3 : 4
c) 3 : 5
d) 5 : 3
Answer :  C

6. If a man travels at 30 km/h, he reaches his destination late by 10 minutes but if he travels at 42 km/h then he reaches 10 minutes earlier. The distance travelled by him is
a) 30 km
b) 35 km
c) 45 km
d) 36 km
Answer :  B

7. Two trains each of 120m in length, run in opposite directions with a velocity of 40m/s and 20m/s respectively. How long will it take for the tail ends of the two trains to meet each other during the course of their journey?
a) 20 s
b) 3 s
c) 4 s
d) 5 s
Answer :  C

8. Two trains starting at the same time fr om two stations, 200 km apart and going in opposite directions, cross each other at a distance of 110 km from one of them What is the ratio of their speeds?
a) 11 : 20
b) 9 : 20
c) 11 : 9
d) 19 : 20
Answer :  C

9. Two runner start running together for a certain distance, one at 8 km/h and another at 5 km/h. The former arrives one and half an hour, before the latter. The distance (in km) is:
a) 12
b) 20
c) 25
d) 36
Answer :  B

10. A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
a) 220 km
b) 224 km
c) 230 km
d) 234 km
Answer :  B

11. A train is moving at a speed of 132 km/h. If the length of the train is 110 metres, how long will it take to cross a railway platform, 165 metres long?
a) 5 s
b) 7.5 s
c) 10 s
d) 15 s
Answer :  B

12. A person travels equal distances with speeds of 3km/hr, 4 km/hr and 5km/hr and takes a total time of 47 minutes. The total distance (in km) is:
a) 2
b) 3
c) 4
d) 5
Answer :  B

13. A and B travel the same distance at 9 km/h and 10 km/h respectively. If A takes 20 minutes longer than B, the distance travelled by each is:
a) 16
b) 20
c) 30
d) None of these
Answer :  C

14. A passenger train takes two hours less for a journey of 300 km if its speed is increased by 5 km/h from its normal speed. The normal speed of the train is
a) 35km/h
b) 50km/h
c) 25km/h
d) 30km/h
Answer :  C

15. A gun is fired at a distance of 3.32 km from Chauhan. He hears its sound 10 seconds later. Find the speed of the sound.
a) 301m/s
b) 302m/s
c) 332m/s
d) 340m/s
Answer :  C

16. A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at:
a) 7.42 a.m.
b) 7.48 a.m.
c) 8.10 a.m.
d) 8.30 a.m.
Answer :  A

17. A car driver travels from the plains to a hill station, whichare 200 km apart at an average speed of 40 km/h. In the return trip he covers the same distance at an average speed of 20 km/h. The average speed of the car over the entire distance of 400 km is
a) 16.56 km/h
b) 17.89 km/h
c) 26.67 km/h
d) 35 km/h
Answer :  C