Time Speed and Distance MCQs

Maths

Time Speed and Distance MCQs

Practice Time, Speed and Distance MCQs with answers and detailed solutions. Learn train problems, boats and streams, relative speed, average speed, races, journeys and advanced quantitative aptitude questions for competitive examinations.

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Question #81
A man starts walking from a place P at 4 AM at a speed of 5 km/h. Another man starts from the same place P at 6 AM in the same direction at a speed of 7 km/h. At what time will they meet?
A. 12:00 PM
B. 1:00 PM
C. 11:00 AM
D. 10:00 AM
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Correct Answer: Option C

Explanation:
By 6:00 AM, the first man has traveled for 2 hours, covering 5 * 2 = 10 km. Relative speed = 7 - 5 = 2 km/h. Time to meet = 10 / 2 = 5 hours. Meeting time = 6:00 AM + 5 hours = 11:00 AM.
This question belongs to: Maths Time Speed and Distance
Question #82
A thief escapes from police custody at 1:00 PM running at 45 km/h. The police discover the escape at 1:20 PM and start chasing him at 60 km/h. At what time will the police catch the thief?
A. 2:00 PM
B. 2:30 PM
C. 2:20 PM
D. 3:00 PM
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Correct Answer: Option C

Explanation:
In 20 minutes (1/3 hour), the thief covers 45 * (1/3) = 15 km. Relative speed = 60 - 45 = 15 km/h. Time taken to catch = 15 / 15 = 1 hour. Catching time = 1:20 PM + 1 hour = 2:20 PM.
This question belongs to: Maths Time Speed and Distance
Question #83
A train traveling at 72 km/h crosses a platform 160 meters long in 18 seconds. Find the length of the train.
A. 180 meters
B. 240 meters
C. 200 meters
D. 220 meters
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Correct Answer: Option C

Explanation:
Speed = 72 * (5/18) = 20 m/s. Total distance in 18 seconds = 20 * 18 = 360 meters. Train length + Platform length = 360 => Train length + 160 = 360 => Train length = 200 meters.
This question belongs to: Maths Time Speed and Distance
Question #84
The ratio between the speeds of two cars is 4 : 5. If the first car covers a distance of 320 km in 4 hours, what is the speed of the second car?
A. 100 km/h
B. 80 km/h
C. 110 km/h
D. 90 km/h
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Correct Answer: Option A

Explanation:
Speed of first car = 320 / 4 = 80 km/h. Ratio of speeds is 4:5, so 4 parts = 80 km/h => 1 part = 20 km/h. Speed of second car = 5 parts = 5 * 20 = 100 km/h.
This question belongs to: Maths Time Speed and Distance
Question #85
A man covers 3/5 of his total journey by rail at 40 km/h and the remaining 2/5 by bus at 30 km/h. If the total distance is 150 km, what is the total time taken?
A. 5 hours
B. 4.5 hours
C. 4 hours
D. 4.25 hours
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Correct Answer: Option D

Explanation:
Distance by rail = 150 * (3/5) = 90 km. Time by rail = 90 / 40 = 2.25 hours. Distance by bus = 150 - 90 = 60 km. Time by bus = 60 / 30 = 2 hours. Total time = 2.25 + 2 = 4.25 hours.
This question belongs to: Maths Time Speed and Distance
Question #86
An express train covers a distance of 450 km in 5 hours. If a slower local train runs at half the speed of the express train, how much time will the local train take to cover 360 km?
A. 6 hours
B. 7 hours
C. 8 hours
D. 9 hours
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Correct Answer: Option C

Explanation:
Speed of express train = 450 / 5 = 90 km/h. Speed of local train = 90 / 2 = 45 km/h. Time taken by local train = 360 / 45 = 8 hours.
This question belongs to: Maths Time Speed and Distance
Question #87
A boatman rows 1 km in 5 minutes along the stream and 1 km in 12 minutes against the stream. Find the speed of the stream.
A. 4 km/h
B. 3.5 km/h
C. 5 km/h
D. 4.5 km/h
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Correct Answer: Option B

Explanation:
Downstream speed = 1 km / (5/60 hours) = 12 km/h. Upstream speed = 1 km / (12/60 hours) = 5 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (12 - 5) / 2 = 3.5 km/h.
This question belongs to: Maths Time Speed and Distance
Question #88
A missile travels at a speed of 1260 km/h. Find the distance covered by the missile in just 1 second.
A. 380 meters
B. 300 meters
C. 400 meters
D. 350 meters
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Correct Answer: Option D

Explanation:
Speed in m/s = 1260 * (5/18) = 70 * 5 = 350 m/s. Therefore, distance covered in 1 second is 350 meters.
This question belongs to: Maths Time Speed and Distance
Question #89
A passenger train 180 meters long is running at 60 km/h. How much time will it take to pass a platform of length 220 meters?
A. 27 seconds
B. 30 seconds
C. 24 seconds
D. 20 seconds
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Correct Answer: Option C

Explanation:
Total distance = 180 + 220 = 400 meters. Speed = 60 * (5/18) = 50/3 m/s. Time = 400 / (50/3) = 400 * 3 / 50 = 24 seconds.
This question belongs to: Maths Time Speed and Distance
Question #90
A train 150 meters long completely passes a stone in 15 seconds. Find the speed of the train in km/h.
A. 30 km/h
B. 36 km/h
C. 40 km/h
D. 45 km/h
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Correct Answer: Option B

Explanation:
Speed of train = 150 / 15 = 10 m/s. In km/h = 10 * (18/5) = 36 km/h.
This question belongs to: Maths Time Speed and Distance
Question #91
A car covered a distance of 240 km in 4 hours. If it decreases its speed by 10 km/h, how much time will it take to cover a distance of 300 km?
A. 5 hours
B. 6.5 hours
C. 6 hours
D. 5.5 hours
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Correct Answer: Option C

Explanation:
Original speed = 240 / 4 = 60 km/h. New speed = 60 - 10 = 50 km/h. Time for 300 km = 300 / 50 = 6 hours.
This question belongs to: Maths Time Speed and Distance
Question #92
A man rows a boat 18 km in 4 hours downstream and returns upstream in 12 hours. Find the speed of the stream.
A. 1.5 km/h
B. 2.5 km/h
C. 2 km/h
D. 1 km/h
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Correct Answer: Option A

Explanation:
Downstream speed = 18 / 4 = 4.5 km/h. Upstream speed = 18 / 12 = 1.5 km/h. Speed of stream = (4.5 - 1.5) / 2 = 1.5 km/h.
This question belongs to: Maths Time Speed and Distance
Question #93
Two trains 150m and 170m long are running towards each other on parallel tracks at speeds of 42 km/h and 30 km/h respectively. In what time will they clear each other?
A. 20 seconds
B. 18 seconds
C. 15 seconds
D. 16 seconds
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Correct Answer: Option D

Explanation:
Total distance = 150 + 170 = 320 meters. Relative speed = 42 + 30 = 72 km/h = 72 * (5/18) = 20 m/s. Time taken = 320 / 20 = 16 seconds.
This question belongs to: Maths Time Speed and Distance
Question #94
A person runs around a circular track of circumference 600 meters. If his speed is 18 km/h, how many rounds can he complete in 10 minutes?
A. 6 rounds
B. 5 rounds
C. 8 rounds
D. 4 rounds
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Correct Answer: Option B

Explanation:
Speed = 18 km/h = 5 m/s. Time = 10 minutes = 600 seconds. Total distance covered = 5 * 600 = 3000 meters. Number of rounds = 3000 / 600 = 5 rounds.
This question belongs to: Maths Time Speed and Distance
Question #95
A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/h, what will be the time taken by it to cover the same distance?
A. 16 minutes
B. 14 minutes
C. 13 minutes 20 seconds
D. 15 minutes
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Correct Answer: Option C

Explanation:
Original speed = 10 km / (12/60 hours) = 50 km/h. New speed = 50 - 5 = 45 km/h. New time = 10 / 45 hours = 2/9 hours = (2/9) * 60 minutes = 40/3 minutes = 13 minutes 20 seconds.
This question belongs to: Maths Time Speed and Distance
Question #96
A man can row 10 km/h in still water. When the river runs at 2 km/h, it takes him 5 hours to row to a place and come back. Find the distance of the place.
A. 28 km
B. 30 km
C. 24 km
D. 20 km
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Correct Answer: Option C

Explanation:
Downstream speed = 10 + 2 = 12 km/h. Upstream speed = 10 - 2 = 8 km/h. Let distance be d. d/12 + d/8 = 5 => (2d + 3d)/24 = 5 => 5d/24 = 5 => d = 24 km.
This question belongs to: Maths Time Speed and Distance
Question #97
A car covers a certain distance in 8 hours at a speed of 50 km/h. What should be its speed to cover the same distance in 5 hours?
A. 90 km/h
B. 75 km/h
C. 70 km/h
D. 80 km/h
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Correct Answer: Option D

Explanation:
Distance = 50 * 8 = 400 km. Required Speed = 400 / 5 = 80 km/h.
This question belongs to: Maths Time Speed and Distance
Question #98
A cyclist covers 500 meters in 2 minutes. What is his speed in km/h?
A. 16 km/h
B. 12 km/h
C. 18 km/h
D. 15 km/h
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Correct Answer: Option D

Explanation:
Time = 2 minutes = 120 seconds. Speed = 500 / 120 = 25/6 m/s. In km/h = (25/6) * (18/5) = 5 * 3 = 15 km/h.
This question belongs to: Maths Time Speed and Distance
Question #99
A train 100 meters long passes a platform 400 meters long in 25 seconds. Find the speed of the train in km/h.
A. 72 km/h
B. 90 km/h
C. 60 km/h
D. 80 km/h
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Correct Answer: Option A

Explanation:
Total distance = 100 + 400 = 500 meters. Speed = 500 / 25 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #100
Walking at 4/5 of his normal speed, a man is 12 minutes late. What is his usual time to cover the journey?
A. 60 minutes
B. 48 minutes
C. 40 minutes
D. 36 minutes
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Correct Answer: Option B

Explanation:
New Time = 5/4 of usual time. Difference = 1/4 * Usual Time = 12 minutes => Usual Time = 48 minutes.
This question belongs to: Maths Time Speed and Distance

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