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 #321
A boat can row 8 km/h in still water. If the river velocity is 4 km/h, find the distance covered downstream by the boat in 45 minutes.
A. 12 km
B. 9 km
C. 10 km
D. 8 km
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Correct Answer: Option B

Explanation:
Downstream speed = 8 + 4 = 12 km/h. Time = 45 minutes = 45/60 = 3/4 hour. Distance covered = Speed * Time = 12 * (3/4) = 9 km.
This question belongs to: Maths Time Speed and Distance
Question #322
A person covers a distance of 60 km at 15 km/h and another 40 km at 20 km/h. Find his average speed for the full journey.
A. 16.66 km/h
B. 16.0 km/h
C. 17.5 km/h
D. 18.0 km/h
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Correct Answer: Option A

Explanation:
Total distance = 60 + 40 = 100 km. Time 1 = 60 / 15 = 4 hours. Time 2 = 40 / 20 = 2 hours. Total time = 6 hours. Average speed = 100 / 6 = 16.66 km/h.
This question belongs to: Maths Time Speed and Distance
Question #323
A train 140 meters long passes a stationary observer in 7 seconds. How long will it take to cross a platform 260 meters long?
A. 24 seconds
B. 22 seconds
C. 20 seconds
D. 18 seconds
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Correct Answer: Option C

Explanation:
Speed of train = 140 / 7 = 20 m/s. Total distance to pass platform = 140 + 260 = 400 meters. Time required = 400 / 20 = 20 seconds.
This question belongs to: Maths Time Speed and Distance
Question #324
A runner covers a 400-meter track. The winner finishes in 40 seconds, while the runner-up takes 44 seconds. By what distance does the winner beat the runner-up?
A. 40.0 meters
B. 34.2 meters
C. 36.36 meters
D. 38.5 meters
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Correct Answer: Option C

Explanation:
Speed of runner-up = 400 / 44 = 100 / 11 m/s. Distance covered by runner-up in 40 seconds = (100 / 11) * 40 = 4000 / 11 = 363.63 meters. Winning margin = 400 - 363.63 = 36.36 meters.
This question belongs to: Maths Time Speed and Distance
Question #325
A car covers a certain distance at 50 km/h. If the speed is increased to 75 km/h, it arrives 20 minutes earlier. Find the distance.
A. 50 km
B. 60 km
C. 45 km
D. 55 km
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Correct Answer: Option A

Explanation:
Time difference = 20 minutes = 20/60 = 1/3 hour. Let distance be d. d / 50 - d / 75 = 1/3 => (3d - 2d) / 150 = 1/3 => d / 150 = 1/3 => d = 50 km.
This question belongs to: Maths Time Speed and Distance
Question #326
A man rows upstream 10 km and downstream 22 km, taking 3 hours each way. Find the speed of the current.
A. 2.2 km/h
B. 2.0 km/h
C. 2.5 km/h
D. 1.8 km/h
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Correct Answer: Option B

Explanation:
Upstream speed = 10 / 3 = 3.33 km/h. Downstream speed = 22 / 3 = 7.33 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (7.33 - 3.33) / 2 = 4 / 2 = 2 km/h.
This question belongs to: Maths Time Speed and Distance
Question #327
A train passes a structural signal box in 8 seconds. If the length of the train is 120 meters, find its speed in km/h.
A. 54 km/h
B. 60 km/h
C. 48 km/h
D. 72 km/h
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Correct Answer: Option A

Explanation:
Speed of train = 120 / 8 = 15 m/s. In km/h = 15 * (18/5) = 54 km/h.
This question belongs to: Maths Time Speed and Distance
Question #328
A vehicle runs at 30 km/h for 3 hours and 60 km/h for the next 2 hours. Find the average speed for the whole journey.
A. 48 km/h
B. 42 km/h
C. 45 km/h
D. 40 km/h
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Correct Answer: Option B

Explanation:
Distance 1 = 30 * 3 = 90 km. Distance 2 = 60 * 2 = 120 km. Total distance = 210 km. Total time = 3 + 2 = 5 hours. Average speed = 210 / 5 = 42 km/h.
This question belongs to: Maths Time Speed and Distance
Question #329
A sound wave covers a distance of 1.36 km in 4 seconds. Find the speed of sound in m/s.
A. 320 m/s
B. 340 m/s
C. 350 m/s
D. 360 m/s
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Correct Answer: Option B

Explanation:
Distance = 1.36 km = 1360 meters. Speed = Distance / Time = 1360 / 4 = 340 m/s.
This question belongs to: Maths Time Speed and Distance
Question #330
A person can row 12 km/h in still water. If the speed of the river current is 4 km/h, find the time taken to row 32 km upstream.
A. 6 hours
B. 5 hours
C. 3 hours
D. 4 hours
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Correct Answer: Option D

Explanation:
Upstream speed = 12 - 4 = 8 km/h. Time taken = 32 / 8 = 4 hours.
This question belongs to: Maths Time Speed and Distance
Question #331
The speed of a train is 72 km/h. How many meters does it cross in 15 seconds?
A. 350 meters
B. 400 meters
C. 300 meters
D. 250 meters
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Correct Answer: Option C

Explanation:
Speed = 72 * (5/18) = 20 m/s. Distance in 15 seconds = Speed * Time = 20 * 15 = 300 meters.
This question belongs to: Maths Time Speed and Distance
Question #332
A car covered a distance of 180 km at a uniform speed. If the speed is reduced by 5 km/h, the journey takes 1 hour longer. Find the original speed.
A. 30 km/h
B. 40 km/h
C. 35 km/h
D. 25 km/h
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Correct Answer: Option A

Explanation:
Let original speed be s. 180 / (s - 5) - 180 / s = 1 => 180(5) = s(s - 5) => 900 = s(s - 5). Solving s^2 - 5s - 900 = 0 gives (s - 30)(s + 25) = 0. Since speed is positive, s = 30 km/h.
This question belongs to: Maths Time Speed and Distance
Question #333
A cyclist covers 600 meters in 2 minutes. What is his speed in km/h?
A. 18 km/h
B. 22 km/h
C. 15 km/h
D. 20 km/h
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Correct Answer: Option A

Explanation:
Time = 2 minutes = 120 seconds. Speed = 600 / 120 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.
This question belongs to: Maths Time Speed and Distance
Question #334
A train 150 meters long passes a platform 250 meters long in 20 seconds. Find the speed of the train in km/h.
A. 80 km/h
B. 84 km/h
C. 72 km/h
D. 64 km/h
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Correct Answer: Option C

Explanation:
Total distance = 150 + 250 = 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 #335
Walking at 6/7 of his usual speed, a man reaches his destination 10 minutes late. What is his usual time to reach the destination?
A. 50 minutes
B. 60 minutes
C. 70 minutes
D. 80 minutes
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Correct Answer: Option B

Explanation:
New speed = 6/7 of usual speed => New time = 7/6 of usual time. Difference = 1/6 of usual time = 10 minutes. Usual time = 10 * 6 = 60 minutes.
This question belongs to: Maths Time Speed and Distance
Question #336
Two cars A and B leave an intersection simultaneously. A travels North at 45 km/h and B travels East at 60 km/h. Find the direct distance between them after 1 hour.
A. 70 km
B. 80 km
C. 75 km
D. 85 km
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Correct Answer: Option C

Explanation:
In 1 hour, distance covered by A = 45 km, and by B = 60 km. Direct distance = sqrt(45^2 + 60^2) = sqrt(2025 + 3600) = sqrt(5625) = 75 km.
This question belongs to: Maths Time Speed and Distance
Question #337
A train running at 72 km/h overtakes a cyclist riding at 12 km/h in the same direction in 12 seconds. Find the length of the train.
A. 240 meters
B. 180 meters
C. 200 meters
D. 220 meters
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Correct Answer: Option C

Explanation:
Relative speed = 72 - 12 = 60 km/h = 60 * (5/18) = 50/3 m/s. Length of train = Relative speed * Time = (50/3) * 12 = 200 meters.
This question belongs to: Maths Time Speed and Distance
Question #338
The speed of a boat in still water is 16 km/h and the speed of the current is 4 km/h. How much distance can the boat cover upstream in 3 hours?
A. 36 km
B. 40 km
C. 32 km
D. 44 km
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Correct Answer: Option A

Explanation:
Upstream speed = 16 - 4 = 12 km/h. Distance covered in 3 hours = 12 * 3 = 36 km.
This question belongs to: Maths Time Speed and Distance
Question #339
A person runs around a circular track of circumference 500 meters. If his speed is 18 km/h, how many rounds can he complete in 10 minutes?
A. 5 rounds
B. 7 rounds
C. 8 rounds
D. 6 rounds
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Correct Answer: Option D

Explanation:
Speed = 18 km/h = 5 m/s. Time = 10 minutes = 600 seconds. Total distance = 5 * 600 = 3000 meters. Number of rounds = 3000 / 500 = 6 rounds.
This question belongs to: Maths Time Speed and Distance
Question #340
A train passes a static observer in 8 seconds and a platform 120 meters long in 14 seconds. Find the length of the train.
A. 180 meters
B. 160 meters
C. 200 meters
D. 150 meters
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Correct Answer: Option B

Explanation:
Time to cross the platform alone = 14 - 8 = 6 seconds. Speed of train = 120 / 6 = 20 m/s. Length of train = Speed * Time to pass observer = 20 * 8 = 160 meters.
This question belongs to: Maths Time Speed and Distance

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