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 #201
A person runs around a square track of side 60 meters. If his speed is 12 km/h, how much time does he take to complete one round?
A. 84 seconds
B. 64 seconds
C. 72 seconds
D. 80 seconds
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Correct Answer: Option C

Explanation:
Perimeter of the track = 4 * 60 = 240 meters. Speed = 12 km/h = 12 * (5/18) = 10/3 m/s. Time required = Distance / Speed = 240 / (10/3) = 240 * 3 / 10 = 72 seconds.
This question belongs to: Maths Time Speed and Distance
Question #202
A train 120 meters long running at 45 km/h crosses a bridge in 30 seconds. Find the length of the bridge.
A. 285 meters
B. 255 meters
C. 230 meters
D. 270 meters
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Correct Answer: Option B

Explanation:
Speed of train = 45 * (5/18) = 12.5 m/s. Total distance covered in 30 seconds = 12.5 * 30 = 375 meters. Length of bridge = 375 - 120 = 255 meters.
This question belongs to: Maths Time Speed and Distance
Question #203
A boatman can row 9 km/h in still water and the river flows at 3 km/h. Find the time taken to row 36 km downstream.
A. 3 hours
B. 4 hours
C. 5 hours
D. 2 hours
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Correct Answer: Option A

Explanation:
Downstream speed = 9 + 3 = 12 km/h. Time taken = Distance / Downstream Speed = 36 / 12 = 3 hours.
This question belongs to: Maths Time Speed and Distance
Question #204
A man covers 40% of his total journey at 20 km/h and the remaining 60% at 30 km/h. What is his average speed for the whole journey?
A. 26 km/h
B. 25 km/h
C. 24 km/h
D. 28 km/h
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Correct Answer: Option B

Explanation:
Let total distance be 100 km. First part = 40 km; Time = 40 / 20 = 2 hours. Second part = 60 km; Time = 60 / 30 = 2 hours. Total distance = 100 km, Total time = 4 hours. Average speed = 100 / 4 = 25 km/h.
This question belongs to: Maths Time Speed and Distance
Question #205
Excluding stoppages, the speed of an express train is 60 km/h and including stoppages it is 48 km/h. For how many minutes does the train stop per hour?
A. 10 minutes
B. 14 minutes
C. 15 minutes
D. 12 minutes
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Correct Answer: Option D

Explanation:
Stoppage time per hour = (60 - 48) / 60 = 12 / 60 = 1/5 hour. In minutes = (1/5) * 60 = 12 minutes.
This question belongs to: Maths Time Speed and Distance
Question #206
A person crosses a 500-meter long bridge in 4 minutes. Find his speed in km/h.
A. 8.5 km/h
B. 7.5 km/h
C. 8.0 km/h
D. 6.5 km/h
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Correct Answer: Option B

Explanation:
Time = 4 minutes = 240 seconds. Speed = 500 / 240 = 25/12 m/s. In km/h = (25/12) * (18/5) = 5 * 1.5 = 7.5 km/h.
This question belongs to: Maths Time Speed and Distance
Question #207
A man walks at a speed of 6 km/h instead of 5 km/h and thereby covers 12 km more in the same duration. Find the actual distance covered by him at his normal speed.
A. 72 km
B. 80 km
C. 60 km
D. 50 km
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Correct Answer: Option C

Explanation:
Let duration be t hours. Distance difference = 6t - 5t = t = 12 hours. Distance at normal speed (5 km/h) = 5 * 12 = 60 km.
This question belongs to: Maths Time Speed and Distance
Question #208
A train passes a standing passenger in 8 seconds and crosses a 180-meter long platform in 17 seconds. Find the speed of the train.
A. 24 m/s
B. 20 m/s
C. 18 m/s
D. 22 m/s
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Correct Answer: Option B

Explanation:
Time taken to pass the platform alone = 17 - 8 = 9 seconds. Speed of train = 180 / 9 = 20 m/s.
This question belongs to: Maths Time Speed and Distance
Question #209
A motorboat travels 24 km downstream in 2 hours and covers the same distance upstream in 3 hours. Find the speed of the current.
A. 1.5 km/h
B. 2.5 km/h
C. 3 km/h
D. 2 km/h
Discuss
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Correct Answer: Option D

Explanation:
Downstream speed = 24 / 2 = 12 km/h. Upstream speed = 24 / 3 = 8 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (12 - 8) / 2 = 2 km/h.
This question belongs to: Maths Time Speed and Distance
Question #210
The speed of two trains are in the ratio 4 : 5. If the second train covers 300 km in 3 hours, find the speed of the first train.
A. 75 km/h
B. 90 km/h
C. 80 km/h
D. 85 km/h
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Correct Answer: Option C

Explanation:
Speed of the second train = 300 / 3 = 100 km/h. Speed ratio is 4:5, so 5 parts = 100 km/h => 1 part = 20 km/h. Speed of the first train = 4 parts = 4 * 20 = 80 km/h.
This question belongs to: Maths Time Speed and Distance
Question #211
A person walking at 4/5 of his usual speed reaches his shop 15 minutes late. What is his usual time to reach the shop?
A. 50 minutes
B. 60 minutes
C. 70 minutes
D. 80 minutes
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Correct Answer: Option B

Explanation:
New speed = 4/5 of usual speed => New time = 5/4 of usual time. Difference = 1/4 of usual time = 15 minutes. Usual time = 15 * 4 = 60 minutes.
This question belongs to: Maths Time Speed and Distance
Question #212
A train 100 meters long passes an extension platform 300 meters long in 20 seconds. What is the speed of the train in km/h?
A. 72 km/h
B. 64 km/h
C. 80 km/h
D. 84 km/h
Discuss
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Correct Answer: Option A

Explanation:
Total distance = 100 + 300 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #213
A car climbs a mountain path 12 km long at 4 km/h and descends the same distance at 12 km/h. Find the average speed for the round journey.
A. 5 km/h
B. 7 km/h
C. 8 km/h
D. 6 km/h
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Correct Answer: Option D

Explanation:
Average Speed = 2xy / (x + y) = (2 * 4 * 12) / (4 + 12) = 96 / 16 = 6 km/h.
This question belongs to: Maths Time Speed and Distance
Question #214
A runner completes a 200-meter race in 25 seconds. Find his speed in km/h.
A. 28.8 km/h
B. 30 km/h
C. 32.4 km/h
D. 24 km/h
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Correct Answer: Option A

Explanation:
Speed in m/s = 200 / 25 = 8 m/s. In km/h = 8 * (18/5) = 144 / 5 = 28.8 km/h.
This question belongs to: Maths Time Speed and Distance
Question #215
A car covers a distance of 150 km in 2 hours 30 minutes. What should be its speed to cover the same distance in 2 hours?
A. 80 km/h
B. 75 km/h
C. 70 km/h
D. 85 km/h
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Correct Answer: Option B

Explanation:
Required speed = Distance / Time = 150 / 2 = 75 km/h.
This question belongs to: Maths Time Speed and Distance
Question #216
A boat can row 15 km/h in still water. If the river current flows at 3 km/h, find the distance covered by the boat downstream in 20 minutes.
A. 6 km
B. 5 km
C. 8 km
D. 7 km
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Correct Answer: Option A

Explanation:
Downstream speed = 15 + 3 = 18 km/h. Time = 20 minutes = 20/60 = 1/3 hour. Distance covered = Speed * Time = 18 * (1/3) = 6 km.
This question belongs to: Maths Time Speed and Distance
Question #217
A man covers 30 km of his journey at 10 km/h and the remaining 40 km at 20 km/h. Find his average speed for the whole journey.
A. 14 km/h
B. 16 km/h
C. 12 km/h
D. 15 km/h
Discuss
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Correct Answer: Option A

Explanation:
Total distance = 30 + 40 = 70 km. Time for first part = 30 / 10 = 3 hours. Time for second part = 40 / 20 = 2 hours. Total time = 5 hours. Average speed = 70 / 5 = 14 km/h.
This question belongs to: Maths Time Speed and Distance
Question #218
Two points P and Q are 210 km apart. Train A leaves P for Q at 50 km/h at 10:00 AM. Train B leaves Q for P at 70 km/h at 11:00 AM. At what time will they pass each other?
A. 1:00 PM
B. 12:20 PM
C. 12:40 PM
D. 12:00 PM
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Correct Answer: Option B

Explanation:
By 11:00 AM, Train A covers 50 km * 1 hour = 50 km. Remaining distance = 210 - 50 = 160 km. Relative speed = 50 + 70 = 120 km/h. Time to meet after 11:00 AM = 160 / 120 = 4/3 hours = 1 hour 20 minutes. Meeting time = 11:00 AM + 1 hour 20 minutes = 12:20 PM.
This question belongs to: Maths Time Speed and Distance
Question #219
A train 120 meters long passes a telegraph post in 8 seconds. How long will it take to pass a platform 240 meters long?
A. 24 seconds
B. 28 seconds
C. 32 seconds
D. 20 seconds
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Correct Answer: Option A

Explanation:
Speed of train = 120 / 8 = 15 m/s. Total distance to pass platform = 120 + 240 = 360 meters. Time taken = 360 / 15 = 24 seconds.
This question belongs to: Maths Time Speed and Distance
Question #220
A person wins a 100-meter race in 12 seconds, while the runner-up finishes in 13 seconds. By what distance did the winner beat the runner-up?
A. 8.12 meters
B. 8.50 meters
C. 7.24 meters
D. 7.69 meters
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Correct Answer: Option D

Explanation:
Speed of runner-up = 100 / 13 m/s. Distance covered by runner-up in 12 seconds = (100 / 13) * 12 = 1200 / 13 = 92.31 meters. Beat distance = 100 - 92.31 = 7.69 meters.
This question belongs to: Maths Time Speed and Distance

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