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 #281
A cyclist covers 750 meters in 2 minutes 30 seconds. Find his speed in km/h.
A. 15 km/h
B. 22 km/h
C. 18 km/h
D. 20 km/h
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Correct Answer: Option C

Explanation:
Time = 2 minutes 30 seconds = 150 seconds. Speed = 750 / 150 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.
This question belongs to: Maths Time Speed and Distance
Question #282
A person walking at 5/6 of his usual speed reaches his focal office 12 minutes late. What is his usual time?
A. 50 minutes
B. 70 minutes
C. 80 minutes
D. 60 minutes
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Correct Answer: Option D

Explanation:
New speed = 5/6 of usual speed => New time = 6/5 of usual time. Difference = 1/5 of usual time = 12 minutes. Usual time = 12 * 5 = 60 minutes.
This question belongs to: Maths Time Speed and Distance
Question #283
A boatman rows 16 km downstream in 2 hours and covers the same distance upstream in 4 hours. Find the speed of the boat in still water.
A. 6 km/h
B. 7 km/h
C. 8 km/h
D. 5 km/h
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Correct Answer: Option A

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 #284
A train traveling at 60 km/h crosses a static tunnel in 18 seconds. If the length of the train is 120 meters, find the length of the tunnel.
A. 200 meters
B. 160 meters
C. 180 meters
D. 220 meters
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Correct Answer: Option C

Explanation:
Speed of train = 60 * (5/18) = 50/3 m/s. Total distance covered in 18 seconds = (50/3) * 18 = 300 meters. Length of tunnel = 300 - 120 = 180 meters.
This question belongs to: Maths Time Speed and Distance
Question #285
A car covers a total distance of 180 km. It travels the first half of the distance at 30 km/h and the second half at 60 km/h. Find the average speed for the full journey.
A. 45 km/h
B. 36 km/h
C. 50 km/h
D. 40 km/h
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Correct Answer: Option D

Explanation:
Average Speed = 2xy / (x + y) = (2 * 30 * 60) / (30 + 60) = 3600 / 90 = 40 km/h.
This question belongs to: Maths Time Speed and Distance
Question #286
A person can walk at 5 km/h. How many meters can he cover in 12 minutes?
A. 1000 meters
B. 900 meters
C. 1200 meters
D. 1100 meters
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Correct Answer: Option A

Explanation:
Speed = 5 km/h = 5000 meters / 60 minutes = 83.33 meters per minute. Distance in 12 minutes = 83.33 * 12 = 1000 meters.
This question belongs to: Maths Time Speed and Distance
Question #287
A train 150 meters long is running at a speed of 90 km/h. How long will it take to cross a platform 200 meters long?
A. 14 seconds
B. 15 seconds
C. 12 seconds
D. 16 seconds
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Correct Answer: Option A

Explanation:
Speed of train = 90 * (5/18) = 25 m/s. Total distance = 150 + 200 = 350 meters. Time taken = 350 / 25 = 14 seconds.
This question belongs to: Maths Time Speed and Distance
Question #288
A man rows a distance of 12 km downstream in 1.5 hours and returns upstream in 3 hours. Find the speed of the river current.
A. 2.5 km/h
B. 2.0 km/h
C. 2.2 km/h
D. 1.8 km/h
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Correct Answer: Option B

Explanation:
Downstream speed = 12 / 1.5 = 8 km/h. Upstream speed = 12 / 3 = 4 km/h. Speed of current = (8 - 4) / 2 = 4 / 2 = 2 km/h.
This question belongs to: Maths Time Speed and Distance
Question #289
Two cars start from the same spot and travel along perpendicular roads. One travels at 30 km/h and the other at 40 km/h. Find the distance between them after 1 hour.
A. 45 km
B. 60 km
C. 50 km
D. 55 km
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Correct Answer: Option C

Explanation:
In 1 hour, the first car travels 30 km and the second car travels 40 km. Direct distance = sqrt(30^2 + 40^2) = sqrt(900 + 1600) = sqrt(2500) = 50 km.
This question belongs to: Maths Time Speed and Distance
Question #290
A sound wave travels at 330 m/s. How long does it take to cover a distance of 6.6 km?
A. 24 seconds
B. 18 seconds
C. 20 seconds
D. 22 seconds
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Correct Answer: Option C

Explanation:
Distance = 6.6 km = 6600 meters. Time taken = 6600 / 330 = 20 seconds.
This question belongs to: Maths Time Speed and Distance
Question #291
A person walks from home to school at 4 km/h and arrives 5 minutes late. If he runs at 5 km/h, he arrives 4 minutes early. Find the distance.
A. 4.0 km
B. 3.0 km
C. 3.5 km
D. 2.5 km
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Correct Answer: Option B

Explanation:
Time difference = 5 - (-4) = 9 minutes = 9/60 = 0.15 hours. Let distance be d. d / 4 - d / 5 = 0.15 => d / 20 = 0.15 => d = 3 km.
This question belongs to: Maths Time Speed and Distance
Question #292
A train 110 meters long crosses a pole in 5.5 seconds. What is its speed in km/h?
A. 64 km/h
B. 72 km/h
C. 84 km/h
D. 80 km/h
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Correct Answer: Option B

Explanation:
Speed of train = 110 / 5.5 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #293
A wheel makes 1000 revolutions to cover a distance of 880 meters. Find the diameter of the wheel.
A. 32 cm
B. 35 cm
C. 24 cm
D. 28 cm
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Correct Answer: Option D

Explanation:
Distance covered in 1 revolution = 880 / 1000 = 0.88 meters = 88 cm. Circumference = 2 * (22/7) * r = 88 cm => (44/7) * r = 88 => r = 14 cm. Diameter = 2r = 28 cm.
This question belongs to: Maths Time Speed and Distance
Question #294
Excluding stoppages, the speed of a train is 72 km/h and including stoppages it is 60 km/h. How many minutes does the train stop per hour?
A. 15 minutes
B. 12 minutes
C. 8 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 #295
A boat can row 10 km/h in still water and the speed of the current is 2 km/h. Find the time taken to row 24 km upstream.
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:
Upstream speed = 10 - 2 = 8 km/h. Time taken = 24 / 8 = 3 hours.
This question belongs to: Maths Time Speed and Distance
Question #296
A car travels a distance of 360 km at a uniform speed. If the speed is reduced by 10 km/h, it takes 2 hours longer. Find the original speed.
A. 55 km/h
B. 40 km/h
C. 45 km/h
D. 50 km/h
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Correct Answer: Option C

Explanation:
Let original speed be s. 360 / (s - 10) - 360 / s = 2 => 180 / (s - 10) - 180 / s = 1 => 180(10) = s(s - 10) => 1800 = s(s - 10). Solving s^2 - 10s - 1800 = 0 gives (s - 45)(s + 40) = 0. Since speed is positive, s = 45 km/h.
This question belongs to: Maths Time Speed and Distance
Question #297
A runner covers 100 meters in 11 seconds. Find his approximate speed in km/h.
A. 30.5 km/h
B. 32.7 km/h
C. 36.0 km/h
D. 34.2 km/h
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Correct Answer: Option B

Explanation:
Speed = 100 / 11 m/s. In km/h = (100 / 11) * (18/5) = 360 / 11 = 32.72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #298
A train 130 meters long passing a platform 170 meters long takes 15 seconds. Find the speed of the train in km/h.
A. 64 km/h
B. 72 km/h
C. 80 km/h
D. 84 km/h
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Correct Answer: Option B

Explanation:
Total distance = 130 + 170 = 300 meters. Speed = 300 / 15 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #299
Walking at 4/5 of his normal pace, a student is 8 minutes late. Find his usual time.
A. 32 minutes
B. 40 minutes
C. 36 minutes
D. 28 minutes
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Correct Answer: Option A

Explanation:
New speed = 4/5 of usual speed => New time = 5/4 of usual time. Difference = 1/4 of usual time = 8 minutes. Usual time = 8 * 4 = 32 minutes.
This question belongs to: Maths Time Speed and Distance
Question #300
A man rows downstream 28 km in 2 hours and upstream 12 km in 2 hours. Find the speed of the current.
A. 4.5 km/h
B. 5.0 km/h
C. 4.0 km/h
D. 3.5 km/h
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Correct Answer: Option C

Explanation:
Downstream speed = 28 / 2 = 14 km/h. Upstream speed = 12 / 2 = 6 km/h. Speed of current = (14 - 6) / 2 = 8 / 2 = 4 km/h.
This question belongs to: Maths Time Speed and Distance

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