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 #421
A train passing a stationary pole takes 8 seconds, and it requires 20 seconds to completely pass a 240-meter long platform. Find the speed of the train in km/h.
A. 72 km/h
B. 76 km/h
C. 80 km/h
D. 68 km/h
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Correct Answer: Option A

Explanation:
Time taken to cross the platform distance alone = 20 - 8 = 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 #422
A schoolboy covers his walk to school at 4 km/h and arrives 9 minutes late. The next day, he steps up his pace to 6 km/h and arrives 1 minute early. Find the distance.
A. 2.0 km
B. 2.2 km
C. 1.8 km
D. 2.5 km
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Correct Answer: Option A

Explanation:
Time difference = 9 - (-1) = 10 minutes = 10/60 = 1/6 hours. Let distance be d. d/4 - d/6 = 1/6 => d/12 = 1/6 => d = 2 km.
This question belongs to: Maths Time Speed and Distance
Question #423
A boat can row 15 km/h in still water. If the river current flows at 5 km/h, find the total time taken by the boat to row 40 km upstream.
A. 4 hours
B. 6 hours
C. 3 hours
D. 5 hours
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Correct Answer: Option A

Explanation:
Upstream speed = 15 - 5 = 10 km/h. Time taken = Distance / Upstream speed = 40 / 10 = 4 hours.
This question belongs to: Maths Time Speed and Distance
Question #424
An emergency truck spans 450 meters in 25 seconds. Find its speed in km/h.
A. 68 km/h
B. 64.8 km/h
C. 60 km/h
D. 72 km/h
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Correct Answer: Option B

Explanation:
Speed = 450 / 25 = 18 m/s. In km/h = 18 * (18/5) = 324 / 5 = 64.8 km/h.
This question belongs to: Maths Time Speed and Distance
Question #425
Walking at 8/9 of his normal speed, an analyst reaches his designated terminal 12 minutes late. Find his usual time to reach the terminal.
A. 84 minutes
B. 104 minutes
C. 112 minutes
D. 96 minutes
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Correct Answer: Option D

Explanation:
New speed = 8/9 of usual speed => New time = 9/8 of usual time. Difference = 1/8 of usual time = 12 minutes. Usual time = 12 * 8 = 96 minutes.
This question belongs to: Maths Time Speed and Distance
Question #426
Two commuter trains 130 meters and 120 meters long are tracking in opposite directions at speeds of 42 km/h and 48 km/h respectively. In what time will they clear each other?
A. 9 seconds
B. 10 seconds
C. 11 seconds
D. 12 seconds
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Correct Answer: Option B

Explanation:
Total distance = 130 + 120 = 250 meters. Relative speed in opposite directions = 42 + 48 = 90 km/h = 90 * (5/18) = 25 m/s. Time required = 250 / 25 = 10 seconds.
This question belongs to: Maths Time Speed and Distance
Question #427
A traveler covers 1/3 of a distance at 20 km/h and the remaining 2/3 at 50 km/h. What is his net average speed for the entire distance?
A. 36.50 km/h
B. 38.00 km/h
C. 32.5 km/h
D. 34.28 km/h
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Correct Answer: Option D

Explanation:
Let the total distance be 150 km. First part = 50 km; Time = 50/20 = 2.5 hours. Remaining part = 100 km; Time = 100/50 = 2 hours. Total distance = 150 km, Total time = 4.5 hours. Average speed = 150 / 4.5 = 1500 / 45 = 34.28 km/h.
This question belongs to: Maths Time Speed and Distance
Question #428
A boatman logs 24 km downstream in 3 hours and the exact same route upstream in 6 hours. What is the speed of the boat in still water?
A. 7 km/h
B. 5 km/h
C. 6 km/h
D. 8 km/h
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Correct Answer: Option C

Explanation:
Downstream speed = 24 / 3 = 8 km/h. Upstream speed = 24 / 6 = 4 km/h. Speed in still water = (8 + 4) / 2 = 6 km/h.
This question belongs to: Maths Time Speed and Distance
Question #429
A train passes a static milepost in exactly 7 seconds. If the speed of the train is 72 km/h, find the absolute length of the train.
A. 180 meters
B. 120 meters
C. 160 meters
D. 140 meters
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Correct Answer: Option D

Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Length of train = Speed * Time = 20 * 7 = 140 meters.
This question belongs to: Maths Time Speed and Distance
Question #430
A motor vehicle completes a journey in 5 hours. It handles the first half of the stretch at 50 km/h and the second half at 30 km/h. Find the total distance wrapped.
A. 200 km
B. 187.5 km
C. 175 km
D. 192 km
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Correct Answer: Option B

Explanation:
Let the half distance be d. d / 50 + d / 30 = 5 => 8d / 150 = 5 => 8d = 750 => d = 93.75 km. Total distance = 2d = 187.5 km.
This question belongs to: Maths Time Speed and Distance
Question #431
Two delivery cars start from the same warehouse at the same time in identical directions. The first tracks a constant speed of 45 km/h and the second runs at 55 km/h. What is the distance between them after 2 hours 30 minutes?
A. 30 km
B. 27 km
C. 25 km
D. 22 km
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Correct Answer: Option C

Explanation:
Relative speed = 55 - 45 = 10 km/h. Time = 2.5 hours. Distance separation = Relative Speed * Time = 10 * 2.5 = 25 km.
This question belongs to: Maths Time Speed and Distance
Question #432
A acoustic sensor records a sound wave. If the echo of the pulse reflects from an obstacle after 3 seconds, find the distance of the obstacle from the origin given the speed of sound is 340 m/s.
A. 510 meters
B. 480 meters
C. 1020 meters
D. 960 meters
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Correct Answer: Option A

Explanation:
Total path distance covered by the wave = 340 * 3 = 1020 meters. Distance to the obstacle = 1020 / 2 = 510 meters.
This question belongs to: Maths Time Speed and Distance
Question #433
A high-speed coach train 180 meters long crosses a terminal platform 220 meters long in 16 seconds. What is the speed of the coach train in km/h?
A. 90 km/h
B. 100 km/h
C. 95 km/h
D. 85 km/h
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Correct Answer: Option A

Explanation:
Total distance = 180 + 220 = 400 meters. Speed = 400 / 16 = 25 m/s. In km/h = 25 * (18/5) = 90 km/h.
This question belongs to: Maths Time Speed and Distance
Question #434
A cyclist tracks a sector distance of 24 km at a certain speed. If he drops his pace by 2 km/h, he takes 1 hour more to cover the route. Find his baseline speed.
A. 6 km/h
B. 10 km/h
C. 12 km/h
D. 8 km/h
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Correct Answer: Option D

Explanation:
Let original speed be s. 24 / (s - 2) - 24 / s = 1 => 24(2) = s(s - 2) => 48 = s(s - 2). Solving s^2 - 2s - 48 = 0 yields (s - 8)(s + 6) = 0. Since speed must be positive, s = 8 km/h.
This question belongs to: Maths Time Speed and Distance
Question #435
A jogger runs along a square perimeter of side 45 meters. If his speed is 10.8 km/h, how much time does he take to finish one full round?
A. 72 seconds
B. 54 seconds
C. 66 seconds
D. 60 seconds
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Correct Answer: Option D

Explanation:
Perimeter of the course = 4 * 45 = 180 meters. Speed = 10.8 km/h = 10.8 * (5/18) = 3 m/s. Time required = Distance / Speed = 180 / 3 = 60 seconds.
This question belongs to: Maths Time Speed and Distance
Question #436
A train 140 meters long tracking at 63 km/h passes a modern bridge in 24 seconds. Find the length of the bridge.
A. 300 meters
B. 280 meters
C. 320 meters
D. 260 meters
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Correct Answer: Option B

Explanation:
Speed of train = 63 * (5/18) = 17.5 m/s. Total distance handled in 24 seconds = 17.5 * 24 = 420 meters. Length of the bridge = 420 - 140 = 280 meters.
This question belongs to: Maths Time Speed and Distance
Question #437
A boat can row 10 km/h in still water and the river current marks 4 km/h. Find the time required to complete 42 km downstream.
A. 3.0 hours
B. 3.5 hours
C. 4.0 hours
D. 2.5 hours
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Correct Answer: Option A

Explanation:
Downstream speed = 10 + 4 = 14 km/h. Time taken = Distance / Downstream speed = 42 / 14 = 3 hours.
This question belongs to: Maths Time Speed and Distance
Question #438
A driver covers 30% of his total route at 30 km/h and the remaining 70% at 42 km/h. What is his average speed for the full trip?
A. 40 km/h
B. 38 km/h
C. 37.5 km/h
D. 36 km/h
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Correct Answer: Option C

Explanation:
Let total distance be 100 km. First section = 30 km; Time = 30 / 30 = 1 hour. Second section = 70 km; Time = 70 / 42 = 5/3 hours. Total time = 1 + 5/3 = 8/3 hours. Average speed = 100 / (8/3) = 300 / 8 = 37.5 km/h.
This question belongs to: Maths Time Speed and Distance
Question #439
Excluding institutional stops, the speed of an intercity coach is 72 km/h and including stops it is 60 km/h. For how many minutes does the coach stop per hour?
A. 8 minutes
B. 12 minutes
C. 15 minutes
D. 10 minutes
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Correct Answer: Option D

Explanation:
Stoppage time per hour = (72 - 60) / 72 = 12 / 72 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.
This question belongs to: Maths Time Speed and Distance
Question #440
A civilian steps across a 600-meter long overpass bridge in exactly 5 minutes. Find his speed in km/h.
A. 8.0 km/h
B. 7.6 km/h
C. 7.2 km/h
D. 6.8 km/h
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Correct Answer: Option C

Explanation:
Time = 5 minutes = 300 seconds. Speed = 600 / 300 = 2 m/s. In km/h = 2 * (18/5) = 7.2 km/h.
This question belongs to: Maths Time Speed and Distance

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