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Aptitude Time and Distance Formulae Set 3
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1. A person travelled a distance of 50 km in 8h. He covered a part of the distance on foot at the rate of 4km/h and a part on a bicycle at the rate of 10km/hr. How much distance did he travel on foot?
10km
20km
30km
40km
2. Two cities A and B 360 km apart. A car goes from A to B with a speed of 40km/h and returns to A with a speed of 60 km/h. What is the average speed of the car?
45km/h
48km/h
50km/h
55km/h
3. In a 500m race, B starts 45m ahead of A, But A wins the race while B is Still 35m behind. What is the ratio of the speeds of A to B Assuming that both start at the same time?
25:21
25:20
5:3
5:7
4. Two trains leave New Delhi at the same time. One travels towards the north at 60km/h and the other travels towards the south at 40 km/h. After how many hours will the trains be 150km apart?
(3/2)h
(4/3)h
(3/4)h
(15/2)h
5. Amit starts from a point A and walks to another point B and then returns from B to A by his car and thus takes a total time of 6h and 45 min, if he had driven both ways in his car, then he would have taken 2hless.How long would it take for him to walk both ways?
7h 45 min
8h 15 min
8h 30 min
8h 45min
6. Aryan runs at a speed of 40m/min. Rahul follows him after an interval of 5min and runs at a speed of 50m/min. Rahul's dog runs at a speed of 60m/min and starts along with Rahul. The dog reaches Aryan and then comes back to Rahul and continues to do so till Rahul reaches Aryan. What is the total distance covered by the dog?
600m
750m
980m
1200m
7. A student reaches his school 15 min before time by going there from his house at a speed of 5km/h and reaches late by 9 min by going with a speed of 3 km/h. According distance between his house and school is
5 km
8 km
3 km
2 km
8. Running at a speed of 60km/h a train passed through a 1.5 km long tunnel in 2 min. What is the length of the train?
250m
500m
1000m
1500m
9. A and B start from the same point and in the same direction at 7:00 am to walk around a rectangular field 400m x 300m. A and B walk at the rate of 3km/h and 2.5km/h respectively. How many times shall they cross each other, if they continue to walk till 12: 30 pm?
Not even once
Once
Twice
Thrice
10. Two cars X and Y start from two places A and B respectively, which are 700km a part at 9:00am.Both the cars run at an average speed of 60km/h. Car X stops at 10:00 am and again starts at 11:00 am while the other car Y continues to run without stopping. When do the two cars cross each other?
2:40pm
3:20pm
4:10pm
4:20pm
11. A train is moving at a speed of 180 km/hr. It's speed is
5m/sec
30m/sec
40m/sec
50m/sec
12. An athlete runs 200 meters race in 24 seconds. His speed is
20km/hr
24km/hr
28.5km/hr
30km/hr
13. A man completes 30km of a journey at 6km/hr and the remaining 40km of the journey in 5 hours. His average speed for the whole journey is
6 4/11 km/hr
7km/hr
7 ½ km/hr
8 km/hr
14. A man covers half of his journey at 6km/hr and the reaming half at 3km/hr. His average speed is
3km/hr
44.5km/hr
4.5km/hr
9km/hr
15. 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 reach the destination?
1 1/3 Hours
2 hours
1 2/3 Hours
2 2/3 Hours
16. A is twice as fast as B and B is thrice as fast as C. The journey covered by C in 42 minutes will be covered by A in
7 Minutes
14 Minutes
28 Minutes
63 Minutes
17. The ratio between the speed of two trains is 7: 8.If the second train runs 400km in 5 hours. The speed of the first train is
70km/hr
200km/hr
250km/hr
350km/hr
18. Two trains approach each other at 30 km/hr and 27km/hr from two places 342km apart after how many hours will they meet .
5 Hours
6 Hours
7 Hours
12 Hours
19. A student walks from his house at 2 ½ km/hr and reaches his school late by 6 Minutes. Next day, he increases his speed by 1km/hr a reaches 6 minutes before school time. How far is the school from his house?
(5/4) km
(7/4)km
(9/4)km
(11/4)km
20. The ratio between the speeds of two trains is 7: 8.If the second train runs 400km in 5 hours. The speed of the first train is:
70km/hr
200km/hr
250km/hr
350km/hr
21. The ratio between the speeds of two trains is 7: 8.If the second train runs 400km in 5 hours. The speed of the first train is:
70km/hr
200km/hr
250km/hr
350km/hr
22. A plane left 30 minutes later then he the scheduled time and in order to reach the destination 1500km away it time it had to increase the speed by 250km/hr from the usual speed is
720km/hr
730km/hr
740km/hr
750km/hr
23. Walking with ¾ of his usual speed a man covers a certain distance in 2 hours more than the time he took to cover the distance with usual speed is
4 ½ Hours
5 ½ hours
5 Hours
6 Hours
24. A certain distance covered at a certain speed. If half of this distance is covered in double the time the ratio of the two speeds is
4:1
1:4
2:1
1:2
25. Two cars start at the same time from one point and move along two roads at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively after 15seconds the distance between them will be
150m
250m
300m
400m
26. A train covered a certain distance at a uniform speed. IF the train had been 6km/hr faster, it would have taken 4 hours less. Then the scheduled time and if the train were slower by 6km/hr. The train would have taken 6 hours more than the scheduled time. The length of Journey is
700km
720km
740km
760km
27. Bombay express left Delhi for Bombay at 14.30 hours. Travelling at a speed of 60kmph and Rajadhani express left Delhi for Bombay on the same day at 16.30 hours travelling speed of 80kmph. How far away from Delhi will the two trains meet?
120km
360km
480km
500km
28. A and B start simultaneously from a certain point in north and south direction motor cycles. The Speed of A is 80 km/hr and that of B is 65km/hr. What is the distance between A and B after 12 minutes?
14.5km
29km
36.2km
39km
29. R and S start walking towards each other at 10 am at speeds of 3km/hr and 4km/hr respectively. They were initially 17.5km apart at what time do they meet?
11:30am
12:30pm
1:30pm
2:30pm
30. A boy is running at a speed of P km/hr to cover a distance of 1km but due to the slippery ground, his speed is reduced by Q km/hr(P>Q).If the takes R hours to cover the distance then,
1/R =(P-Q)
R = (P-Q)
1/R =(P+Q)
R =(P+Q)
31. A star is 8.1 x 1013 km away from the earth.Suppose light travels at the speed of 3.0 x 105 km per second. How long will it take light from the star to reach the earth?
7.5 x 103 hrs
7.5 x 104 hrs
2.7 x 1010 sec
2.7 x 1011 sec
32. Sunil covers a distance by walking for 6 hours while returning his speed decreases by 1km/hr and he takes 9 hours to covers the same distance what was his speed in turns journey?
2km/hr
3km/hr
5km/hr
cannot be determined
33. A takes 2 hours more than B to walk D km. If A doubles his speed then he can make it in 1 hour less than B. How much time does B require for walking D km?
D/2 km
3hrs
4hrs
2D/3hrs
34. A walks at a uniform rate of 4km an hour and 4 hours after his start, B cycles after his at the uniform rate of 10km an hour. How far from than starting point will B catch A?
16.7km
18.6km
21.5km
26.7km
35. Two trains start from stations. A and B and travel toward each other at 50km/hr and 60km/hr respectively at the time of their meeting, the second train has travelled 120km more than the first train.The distance between A and B is?
990km
1200km
1320km
1440km
36. A constable is 114m behind a thief. The constable runs 21m and the thief 15m in a minute. In what time will the constable catch the thief?
16min
17 min
18 min
19 min
37. An express train travelled at an average speed of 100km/hr stopping for 3 minutes after 75km. A local after travelled at a speed of 50 km/hr, stopping for 1 minute after every 25km. If the trains began travelling at the same time how many km and did the local train travel in the time it took the express train to travel 60 km?
307.5km
900km
1000km
1200km
38. In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
5 kmph
6 kmph
6.25 kmph
7.5 kmph
39. Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
8 kmph
11 kmph
11 kmph
14 kmph
40. It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
2 : 3
3 : 2
3 : 4
4 : 3
41. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:
14 km
15 km
16 km
17 km
42. Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper?
2420 ft
2524 ft
2600 ft
2740 ft
43. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on the bicycle at 9 km/hr. The distance travelled on foot is :
1 hr 16 min
1 hr 17 min
1 hr 18 min
1 hr 19 min
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