# Time and Distance MCQs for Competitive Examination

## Solve the following problems.

**Q. 61**

It takes 8 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 the train and the rest by car. The ratio of the speed of the train to that of the car

(A) 2 : 3

(B) 3 : 2

(C) 3 : 4

(D) 4 : 3

**Answer**: (C) 3 : 4**Explanation**: N/A

**Q. 62**

A thief steals a car at 1.30 p.m. and drives it off at 40 km/hr. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will overtake the thief at

(A) 5 p.m.

(B) 4 p.m.

(C) 4:30 p.m.

(D) 6 p.m.

**Answer**: (B) 4 p.m.**Explanation**: N/A

**Q. 63**

A policeman goes after a thief who has 100 metres start if the policeman runs a kilometre in 8 minute and the thief a km in 10 minutes, then the distance covered by the thief before he is over-powered is

(A) 350 m

(B) 400 m

(C) 320 m

(D) 420 m

**Answer**: (B) 400 m**Explanation**: Relative speed = (1000/8) – (1000/10) = 25 meter/minute

Required time = (100/25) = 4 mintues

The distance covered by the thief = (1000/10) * 4 = 400 km

**Q. 64**

A constable is 114 metres behind a thief. The constable runs 21 metres and the thief runs 15 metres in a minute. In what time will the constable catch the thief ?

(A) 16 minutes

(B) 17 minutes

(C) 18 minutes

(D) 19 minutes

**Answer**: (D) 19 minutes**Explanation**: N/A

**Q. 65**

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km/hr and 11 km/hr respectively. What is the distance between them after 6 minutes?

(A) 100 meter

(B) 150 meter

(C) 190 meter

(D) 200 meter

**Answer**: (A) 100 meter**Explanation**: N/A

**Q. 66**

A train covers a distance between station A and station B in 45 minutes. If the speed of the train is reduced by 5 km/hr, then the same distance is covered in 48 minutes. The distance between station A and B is

(A) 60 km

(B) 64 km

(C) 55 km

(D) 80 km

**Answer**: (A) 60 km**Explanation**: N/A

**Q. 67**

A man covered a certain distance at some speed. Had he moved 3 km per hour faster, he would have taken 40 minutes less. If he had moved 2 km per hour slower, he would have taken 40 minutes more. The distance (in km) is

(A) 20

(B) 35

(C) 40

(D) 36(2/3)

**Answer**: (C) 40**Explanation**: N/A

**Q. 68**If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?

(A) 15 minutes

(B) 25 minutes

(C) 50 minutes

(D) 90 minutes

**Answer**: (C) 50 minutes**Explanation**: N/A

**Q. 69**

Two guns are fired from the same place at an interval of 6 minutes. A person approaching the place observes that 5 minutes 52 seconds have elapsed between the hearing of the sound of the two guns. If the velocity of the sound is 330 m/sec, the man was approaching that place at what speed (in km/h)?

(A) 24

(B) 27

(C) 30

(D) 36

**Answer**: (B) 27**Explanation**: Difference of time = 6 minute – 5 minute 52 seconds = 8 seconds

Distance covered by man in 5 minute 52 seconds = Distance covered by sound in 8 minutes = 330 * 8 = 2640 meter

Speed of man = 2640/(5 * 60 + 52) = (2640/352) m/sec = 27 m/skec

**Q. 70**

Two trains of length 100 metres and 95 metres respectively pass each other in 27 seconds when they run in the same direction and in 9 seconds when they run in opposite directions. The speed of the two trains is

(A) 44 km/hr, 22 km/hr

(B) 52 km/hr, 26 km/hr

(C) 36 km/hr. 18 km/hr

(D) 40 km/hr, 20 km/hr

**Answer**: (B) 52 km/hr, 26 km/hr**Explanation**: N/A

**Q. 71**

A train passes a platform of length 110 m in 40 seconds and a boy standing on the platform in 30 seconds. The length of the train is

(A) 100 m

(B) 110 m

(C) 220 m

(D) 330 m

**Answer**: (D) 330 m**Explanation**: N/A

**Q. 72**

A moving train crosses a man standing on a platform and a bridge 300 metres long in 10 seconds and 25 seconds respectively. What will be the time taken by the train to cross a platform 200 metres long?

(A) 16(2/3) seconds

(B) 18 seconds

(C) 20 seconds

(D) 22 seconds

**Answer**: (C) 20 seconds**Explanation: **N/A

**Q. 73**

Walking at the rate of 4 kmph a man covers certain distance in 2 hours 45 minutes. Running at a speed of 16.5 kmph the man will cover the same distance in how many minutes?

(A) 35 minutes

(B) 40 minutes

(C) 45 minutes

(D) 50 minutes

**Answer**: (B) 40 minutes**Explanation**: N/A

**Q. 74**In a 100 m race, Kamal defeats Bimal by 5 seconds. If the speed of Kamal is 18 kmph, then the speed of Bimal is

(A) 15.4 kmph

(B) 14.5 kmph

(C) 14.4 kmph

(D) 14 kmph

**Answer**: (C) 14.4 kmph **Explanation**: N/A

**Q. 75**In a race of one kilometre, A gives B a start of 100 metres and still wins by 20 seconds. But if A gives B a start of 25 seconds, B wins by 50 metres. The time taken by A to run one kilometre is

(A) 17 seconds

(B) 500/29 seconds

(C) 1200/29 seconds

(D) 700/29 seconds

**Answer**: (B) 500/29 seconds**Explanation**: Time taken to A to run 1 km = x seconds (suppose), Time taken to B to run 1 km = (x + 20) seconds : Speed of A and B, respectively = (1000/x) and (900/(x + 20))

According to the question, (950/(900/(x + 20))) – (1000/(1000/x)) = 25

Hence x = 500/29 seconds

**Q. 76**In a race of 800 metres, A can beat B by 40 metres. In a race of 500 metres, B can beat C by 5 metres. In a race of 200 metres, A will beat C by how many metres?

(A) 11.9 metre

(B) 1.19 metre

(C) 12.7 metre

(D) 1.27 metre

**Answer**: (A) 11.9 metre**Explanation**: N/A

**Q. 77**

In a race of 200 metres, B can give a start of 10 metres to A and C can give a start of 20 metres to B. The start that C can give to A, in the same race is

(A) 30 metres

(B) 25 metres

(C) 29 metres

(D) 27 metres

**Answer**: (C) 29 metres**Explanation**: N/A

**Q. 78**

In a one-kilometre race A, B and C are the three participants. A can give B a start of 50 m and C a start of 69 m. The start, which B can allow C is

(A) 17 m

(B) 20 m

(C) 19 m

(D) 18 m

**Answer**: (B) 20 m**Explanation**: N/A

**Q. 79**

Two cars are moving with speed V1 and V2 towards a crossing along two roads. If their distance from the crossing be 40 metres and 50 metres at an instant of time then they do not collide if their speed is such that

(A) V1 : V2 = 16 : 25

(B) V1 : V2 ≠ 4 : 5

(C) V1 : V2 ≠ 5 : 4

(D) V1 : V2 = 25 : 16

**Answer**: (B) V1 : V2 ≠ 4 : 5**Explanation**: N/A

**Q. 80**

Ravi and Ajay start simultaneously from a place A towards B 60 km apart. Ravi’s speed is 4 km/hr less than that of Ajay. Ajay, after reaching B, turns back and meets Ravi at a place 12 km away from B. Ravi’s speed is

(A) 12 km/hr

(B) 10 km/hr

(C) 8 km/hr

(D) 6 km/hr

**Answer**: (C) 8 km/hr **Explanation**: N/A