MCQs with Solutions for all Competitive Examinations

Time and Distance MCQs for Competitive Examination

Solve the following problems.

Q. 41
The distance between two places R and S is 42 km. Anita starts from R with a uniform speed of 4 km/h towards S and at the same time Romita starts from S towards R also with some uniform speed. They meet each other after 6 hours. The speed of Romita is

(A) 18 km/hour
(B) 3 km/hour
(C) 20 km/hour
(D) 8 km/hour

Answer: (B) 3 km/h 
Explanation: N/A

Q. 42
Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of 2(1/2) km/hr and Sarita at a speed of 2 km/hr, then in how much time will they be 18 km apart?

(A) 4.0 hours
(B) 4.5 hours
(C) 5 0 hours
(D) 4.8 hours

Answer: (A) 4.0 hours
Explanation: N/A

Q. 43
A bullock cart has to cover a distance of 120 km in 15 hours. If it covers half of the journey in (3/5) th time, then the speed to cover the remaining distance in the time left has to be

(A) 6.4 km/hr
(B) 6.67 km/hr
(C) 10 km/hr
(D) 15 km/hr

Answer: (C) 10 km/hr
Explanation: N/A

Q. 44
A person started his journey in the morning. At 11 a.m. he covered (3/8) of the journey and on the same day at 4.30 p.m. he covered (5/6) of the journey. He started his journey at

(A) 6.00 a.m.
(B) 3.30 a.m.
(C) 7.00 a.m.
(D) 6.30 a.m.

Answer: (D) 6.30 a.m.
Explanation: Total Distance = 24 km (Suppose), At 11 a.m. he covers 9 km, at 4:30 p.m. he covers 20 km
Hence, he covers (20 – 9) = 11 km in 5(1/2) hours.
His speed = 2 km/h. To cover the first 9 km he takes 4(1/2) hours.
He started his journey at 6:30 a.m.

Q. 45
A train of length 110 m is running at a speed of 60 km/hr. How many seconds does it take to cross another train, 170 m long standing on parallel track?

(A) 15.6 seconds
(B) 16.8 seconds
(C) 17.2 seconds
(D) 18 seconds

Answer: (B) 16.8 seconds
Explanation: N/A

Q. 46
A train with a uniform speed passes a platform of length 122 metres in 17 seconds and a bridge, 210 metres long in 25 seconds. The speed of the train is

(A) 46.5 km/hour
(B) 37.5 km/hour
(C) 37.6 km/hour
(D) 39.6 km/hour

Answer: (D) 39.6 km/hour
Explanation: N/A

Q. 47
A train of length 150 m passes a km of stone in 30 seconds and another train of the same length is travelling in opposite direction in 10 seconds. The speed of the second train is

(A) 90 km/h
(B) 125 km/h
(C) 25 km/h
(D) 75 km/h

Answer: (A) 90 km/h
Explanation: N/A

Q. 48
A train of length 100 metres meets a man going in the opposite direction at 5 km/ hr and passes him in 7(1/5) seconds. What is the speed of the train (in km/h)?

(A) 45 km/h
(B) 60 km/h
(C) 55 km/h
(D) 50 km/h

Answer: (A) 45 km/h
Explanation: N/A

Q. 49
A train of length 240 m crosses a man walking along the line in the opposite direction at the rate of 3 km/h in 10 seconds. The speed of the train is

(A) 63 km/h
(B) 75 km/h
(C) 83.4 km/h
(D) 86.4 km/h

Answer: (C) 83.4 km/h
Explanation: N/A

Q. 50
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?

(A) 3 km/h
(B) 4 km/h
(C) 5 km/h
(D) 7 km/h

Answer: (C) 5 km/h
Explanation: N/A

Q. 51
A train passes two persons walking in the same direction at a speed of 3 km/ hour and 5 km/hour respectively in 10 seconds and 11 seconds respectively. The speed of the train is

(A) 24 km/h
(B) 25 km/h
(C) 27 km/h
(D) 28 km/h

Answer: (B) 25 km/h
Explanation: N/A

Q. 52
Two athletes start from the same point and move on a closed track of 600 m. If they run in same direction at speeds of 1.5 m/s and 3.5 m/s, when will they cross each other the second time?

(A) 5 minute
(B) 10 minute
(C) 15 minute
(D) 20 minute

Answer: (A) 5 minute
Explanation: N/A

Q. 53
Two trains start at the same time from A and B and proceed toward each other at the speed of 75 km/hr and 50 km/hr respectively. When both meet at a point in between, one train was found to have travelled 175 km more than the other. Find the distance between A and B

(A) 875 km
(B) 785 km
(C) 758 km
(D) 858 km

Answer: (A) 875 km
Explanation: N/A

Q. 54
Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is

(A) 12(5/6) km/h
(B) 10(5/6) km/h
(C) 9(1/2) km/h
(D) 8(1/2) km/h

Answer: (C) 9(1/2) km/h
Explanation: N/A

Q. 55
P and Q starting simultaneously from two different places proceed towards each other at a speed of 20 km/hour and 30 km/hour respectively. By the time they meet each other. Q has covered 36 km more than that of P. The distance (in km) between the two places is

(A) 144
(B) 162
(C) 180
(D) 108

Answer: (C) 180
Explanation: N/A

Q. 56
Two towns A and B are 500 km apart. A train starts at 8 a.m. from A towards B at a speed of 70 km/hr. At 10 a.m. another train starts from B towards A at a speed of 110 km/hr. When will the two trains meet?

(A) 1 p.m.
(B) 1:30 p.m.
(C) 12 p.m.
(D) 12:30 p.m.

Answer: (C) 12 p.m.
Explanation: N/A

Q. 57
A train travelling at 48 km/hr crosses another train, having half its length and travelling in opposite direction at 42 km/ hr in 12 seconds. It also passes a railway platform in 45 seconds. The length of the railway platform is

(A) 200 m
(B) 300 m
(C) 350 m
(D) 400 m

Answer: (A) 200 m
Explanation: N/A

Q. 58
A man standing on a platform finds that a train takes 3 seconds to pass him and another train of the same length moving in the opposite direction takes 4 seconds. The time taken by the trains to pass each other will be

(A) 2(3/7) seconds
(B) 3(3/7) seconds
(C) 4(3/7) seconds
(D) 5(3/7) seconds

Answer: (B) 3(3/7) seconds
Explanation: N/A

Q. 59
The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train, starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time will they meet?

(A) 10 a.m.
(B) 10:30 a.m.
(C) 11 a.m.
(D) 11:30 a.m.

Answer: (C) 11 a.m.
Explanation: N/A

Q. 60
Walking (6/7) th of his usual speed, a man is 12 minutes late. The usual time taken by him to cover that distance is

(A) 1 hour
(B) 1 hour 12 minute
(C) 1 hour 15 minutes
(D) 1 hour 20 minutes

Answer: (B) 1 hour 12 minute
Explanation: N/A

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