Time & Distance Test 1

1. A man crosses a road 250 metres wide in 75 seconds. His speed in km/hr is:

2. An athlete runs 200 metres race in 24 seconds. His speed (in km/hr) is:

3. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is :

4. A man reduces his speed to 2/3, he takes 1 hour more in walking a certain distace. The time (in hours) to cover the distance with his normal speed is:

5. A and B start at the same time with speeds of 40 km/hr and 50 km/hr respectively. If in covering the journey A takes 15 minutes longer than B, the total distance of the journey is:

6. The speeds of A and B are in the ratio 3 : 4. A takes 20 minutes more than B to reach a destination. In what time does A reachs the destination?

7. A car can cover a certain distance in 4 1/2 hours. If the speed is increased by 5 km/hour, it would take 1/2 hour less to cover the same distance. Find the slower speed of the car:

8. Two men start together to walk a certain distance, one at 4 km/h and another at 3 km/h. The former arrives half an hour before the later. Find the distance :

9. A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would run at its own speed ?

10. A man with 3/5 of his usual speed reaches the destination 2 1/2 hours late. Find his usual time to reach the destination:

11. A car travelling with 5/7 of its usual speed covers 42 km in 1 hour 40 min 48 sec. What is the usual speed of the car ?

12. A and B started at the same time from the same place for a certain destination. B walking at 5/6 of A’s speed reached the destination 1 hour 15 minutes after A and B reached the destination in :

13. Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes?

14. By walking at 3/4 of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is:

15. A boy starts everyday from home to pick up his girlfriend from college at 3 : 30 p.m. One day his girlfriend left the college at 2 : 30 p.m. and start walking to home at 6 km/h. She meets her boyfriend in the way who start at his normal time and they reach home 24 minutes earlier than usual. Find his speed :

16. Rajesh kumar starts in Honda city from Delhi towards Goa. After sometime he realises that he will cover only 75% of the distance in the scheduled time and he therefore doubles his speed immediately and thus manages to reach Goa exactly on time. Find the time after which Rajesh kumar changed his speed, given that he could have been late by 3 hours if he had not changed his speed:

17. After travelling 3 hours a train meets with an accident due to this it stops for an hour. After this the train moves at 75 % speed of its original speed and reaches to destination 4 hours late. If the accident would occur at 150 km ahead in the same line then the train reaches only 3.5 hours late. Then find the distance of journey and the original speed of the train?

18. After travelling 25 km the speed of the car increases by 1/4th of its original speed, due to this the car reaches 30 minutes earlier to its destination. If the speed of the car increased 10 km before, then it reaches to its destination 32 2/5 minutes earlier. Then find the distance travelled by car:

19. Ravi, who lives in the countryside, caught a train for home earlier than usual day. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have reached, had he waited at the station for his wife.The car travels at a uniform speed, which is 5 times Ravi’s speed on foot. Ravi reached home at exactly 6 O ‘clock’. At what time would he have reached home if his wife, forewarned of his plan, had met him at the station?

20. Two rifles are fired from the same place at a difference of 11 minutes 45 seconds. But a man who is coming towards the place in a train hears the second sound after 11 minutes. Find the speed of train (assuming speed of sound = 330 m/s):