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 #181
A train covers a distance between two stations in 45 minutes. If its speed is reduced by 5 km/h, it covers the same distance in 48 minutes. Find the distance between the two stations.
A. 72 km
B. 80 km
C. 50 km
D. 60 km
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Correct Answer: Option D

Explanation:
Let initial speed be s. Distance is constant, so s * (45/60) = (s - 5) * (48/60) => 45s = 48s - 240 => 3s = 240 => s = 80 km/h. Distance = 80 * (45/60) = 60 km.
This question belongs to: Maths Time Speed and Distance
Question #182
A train 150 meters long is running at 72 km/h. How long will it take to completely pass a platform of length 250 meters?
A. 25 seconds
B. 20 seconds
C. 15 seconds
D. 30 seconds
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Correct Answer: Option B

Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Total distance to cross platform = 150 + 250 = 400 meters. Time taken = 400 / 20 = 20 seconds.
This question belongs to: Maths Time Speed and Distance
Question #183
The speed of two bodies are in the ratio 3 : 5. If they cover the same distance, what is the ratio of the time taken by them?
A. 5 : 3
B. 3 : 5
C. 9 : 25
D. 25 : 9
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Correct Answer: Option A

Explanation:
Since time is inversely proportional to speed when distance is constant, the ratio of time taken is the reciprocal of the speed ratio: 1/3 : 1/5 = 5 : 3.
This question belongs to: Maths Time Speed and Distance
Question #184
A man covers 1/3 of his journey by bus at 30 km/h, 1/3 by train at 60 km/h and the last 1/3 by scooter at 20 km/h. Find his average speed for the whole journey.
A. 35 km/h
B. 25 km/h
C. 30 km/h
D. 40 km/h
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Correct Answer: Option C

Explanation:
Let each third of the journey be 60 km. Total distance = 3 * 60 = 180 km. Total time taken = 60/30 + 60/60 + 60/20 = 2 + 1 + 3 = 6 hours. Average speed = 180 / 6 = 30 km/h.
This question belongs to: Maths Time Speed and Distance
Question #185
A person travels a distance of 120 km at 40 km/h and returns at 60 km/h. Find the total time spent for the entire round trip.
A. 5 hours
B. 7 hours
C. 6 hours
D. 4 hours
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Correct Answer: Option A

Explanation:
Time for onward journey = 120 / 40 = 3 hours. Time for return journey = 120 / 60 = 2 hours. Total time = 3 + 2 = 5 hours.
This question belongs to: Maths Time Speed and Distance
Question #186
A train 140 meters long passes a pedestrian walking at 4 km/h in the same direction in 12 seconds. What is the speed of the train?
A. 50 km/h
B. 46 km/h
C. 54 km/h
D. 42 km/h
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Correct Answer: Option B

Explanation:
Relative speed = 140 / 12 = 35/3 m/s = (35/3) * (18/5) = 42 km/h. Since both walk/move in the same direction, Relative Speed = Speed of train - Speed of pedestrian => 42 = Speed of train - 4 => Speed of train = 46 km/h.
This question belongs to: Maths Time Speed and Distance
Question #187
A thief escapes at 2:00 PM at a speed of 40 km/h. The owner follows him at 3:30 PM at a speed of 50 km/h. At what time will the owner catch the thief?
A. 10:30 PM
B. 9:30 PM
C. 10:00 PM
D. 8:30 PM
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Correct Answer: Option B

Explanation:
By 3:30 PM, the thief has run for 1.5 hours and covered 40 * 1.5 = 60 km. Relative speed = 50 - 40 = 10 km/h. Time taken to catch = 60 / 10 = 6 hours. Catching time = 3:30 PM + 6 hours = 9:30 PM.
This question belongs to: Maths Time Speed and Distance
Question #188
A car covers a certain distance at 54 km/h in 4 hours. How much time will it take to cover the same distance at 72 km/h?
A. 3 hours
B. 3.5 hours
C. 2.5 hours
D. 4 hours
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Correct Answer: Option A

Explanation:
Distance = 54 * 4 = 216 km. New time required = 216 / 72 = 3 hours.
This question belongs to: Maths Time Speed and Distance
Question #189
A train passing a standing man takes 9 seconds, and it takes 21 seconds to pass a 240-meter long platform. Find the speed of the train in km/h.
A. 64 km/h
B. 90 km/h
C. 72 km/h
D. 80 km/h
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Correct Answer: Option C

Explanation:
Time taken to cross the platform alone = 21 - 9 = 12 seconds. Speed of train = 240 / 12 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #190
A student covers the distance from his house to school at 5 km/h and arrives 8 minutes late. The next day, he walks at 6 km/h and arrives 2 minutes early. Find the distance between his house and the school.
A. 8 km
B. 6 km
C. 5 km
D. 4 km
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Correct Answer: Option C

Explanation:
Time difference = 8 - (-2) = 10 minutes = 1/6 hour. Let distance be d. d/5 - d/6 = 1/6 => d/30 = 1/6 => d = 5 km.
This question belongs to: Maths Time Speed and Distance
Question #191
A boat can row 12 km/h in still water. If the river current flows at 4 km/h, find the time taken by the boat to row 48 km upstream.
A. 6 hours
B. 8 hours
C. 4 hours
D. 10 hours
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Correct Answer: Option A

Explanation:
Upstream speed = 12 - 4 = 8 km/h. Time taken = Distance / Upstream Speed = 48 / 8 = 6 hours.
This question belongs to: Maths Time Speed and Distance
Question #192
A truck covers 300 meters in 20 seconds. Find its speed in km/h.
A. 45 km/h
B. 60 km/h
C. 54 km/h
D. 72 km/h
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Correct Answer: Option C

Explanation:
Speed = 300 / 20 = 15 m/s. In km/h = 15 * (18/5) = 54 km/h.
This question belongs to: Maths Time Speed and Distance
Question #193
Walking at 7/8 of his usual speed, a person reaches his office 10 minutes late. Find his usual time to reach the office.
A. 80 minutes
B. 90 minutes
C. 60 minutes
D. 70 minutes
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Correct Answer: Option D

Explanation:
New speed = 7/8 of usual speed => New time = 8/7 of usual time. Difference = 1/7 of usual time = 10 minutes. Usual time = 10 * 7 = 70 minutes.
This question belongs to: Maths Time Speed and Distance
Question #194
Two trains 110 meters and 90 meters long are running in opposite directions at speeds of 36 km/h and 54 km/h respectively. In what time will they pass each other completely?
A. 8 seconds
B. 12 seconds
C. 6 seconds
D. 10 seconds
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Correct Answer: Option A

Explanation:
Total distance = 110 + 90 = 200 meters. Relative speed in opposite directions = 36 + 54 = 90 km/h = 90 * (5/18) = 25 m/s. Time taken = 200 / 25 = 8 seconds.
This question belongs to: Maths Time Speed and Distance
Question #195
A person row a distance of 16 km downstream in 2 hours and the same distance upstream in 4 hours. What is the speed of the boat in still water?
A. 7 km/h
B. 6 km/h
C. 5 km/h
D. 8 km/h
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Correct Answer: Option B

Explanation:
Downstream speed = 16 / 2 = 8 km/h. Upstream speed = 16 / 4 = 4 km/h. Speed in still water = (8 + 4) / 2 = 6 km/h.
This question belongs to: Maths Time Speed and Distance
Question #196
A train passes a milestone in 6 seconds. If the speed of the train is 60 km/h, find the length of the train.
A. 150 meters
B. 120 meters
C. 80 meters
D. 100 meters
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Correct Answer: Option D

Explanation:
Speed of train = 60 * (5/18) = 50/3 m/s. Length of train = Speed * Time = (50/3) * 6 = 100 meters.
This question belongs to: Maths Time Speed and Distance
Question #197
A motor car finishes a journey in 6 hours. It covers the first half of the distance at 40 km/h and the second half at 20 km/h. Find the total distance covered.
A. 180 km
B. 140 km
C. 200 km
D. 160 km
Discuss
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Correct Answer: Option D

Explanation:
Let the half distance be d. d / 40 + d / 20 = 6 => 3d / 40 = 6 => 3d = 240 => d = 80 km. Total distance = 2d = 160 km.
This question belongs to: Maths Time Speed and Distance
Question #198
Two cars start from the same place at the same time in the same direction. The first car runs at a constant speed of 50 km/h and the second car runs at 60 km/h. What is the distance between them after 3 hours 30 minutes?
A. 40 km
B. 45 km
C. 30 km
D. 35 km
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Correct Answer: Option D

Explanation:
Relative speed = 60 - 50 = 10 km/h. Time = 3.5 hours. Distance between them = Relative Speed * Time = 10 * 3.5 = 35 km.
This question belongs to: Maths Time Speed and Distance
Question #199
A sound wave travels at a speed of 330 m/s. If the echo of a sound is heard from a wall after 2 seconds, find the distance of the wall from the source.
A. 330 meters
B. 600 meters
C. 660 meters
D. 300 meters
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Correct Answer: Option A

Explanation:
Total distance traveled by the sound wave to the wall and back = Speed * Time = 330 * 2 = 660 meters. Distance to the wall = 660 / 2 = 330 meters.
This question belongs to: Maths Time Speed and Distance
Question #200
A passenger train 200 meters long crosses a platform 300 meters long in 20 seconds. What is the speed of the train in km/h?
A. 80 km/h
B. 110 km/h
C. 90 km/h
D. 100 km/h
Discuss
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Correct Answer: Option C

Explanation:
Total distance = 200 + 300 = 500 meters. Speed = 500 / 20 = 25 m/s. Converting to km/h = 25 * (18/5) = 90 km/h.
This question belongs to: Maths Time Speed and Distance

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