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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Page 29 of 39
Question #561
A train 150 meters long passes a static observer in 6 seconds. How long will it take to pass a platform 250 meters long?
A. 18 seconds
B. 20 seconds
C. 16 seconds
D. 14 seconds
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Correct Answer: Option C

Explanation:
Speed of train = 150 / 6 = 25 m/s. Total distance to pass platform = 150 + 250 = 400 meters. Time taken = 400 / 25 = 16 seconds.
This question belongs to: Maths Time Speed and Distance
Question #562
A cyclist covers 900 meters in exactly 3 minutes. Find his speed in km/h.
A. 20 km/h
B. 18 km/h
C. 22 km/h
D. 16 km/h
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Correct Answer: Option B

Explanation:
Time = 3 minutes = 180 seconds. Speed = 900 / 180 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.
This question belongs to: Maths Time Speed and Distance
Question #563
A person walking at 4/5 of his usual speed reaches his office 10 minutes late. What is his usual time?
A. 35 minutes
B. 45 minutes
C. 40 minutes
D. 50 minutes
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Correct Answer: Option C

Explanation:
New speed = 4/5 of usual speed => New time = 5/4 of usual time. Difference = 1/4 of usual time = 10 minutes. Usual time = 10 * 4 = 40 minutes.
This question belongs to: Maths Time Speed and Distance
Question #564
A boatman rows 20 km downstream in 2 hours and covers the same distance upstream in 4 hours. Find the speed of the boat in still water.
A. 8.0 km/h
B. 7.5 km/h
C. 8.5 km/h
D. 7.0 km/h
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Correct Answer: Option B

Explanation:
Downstream speed = 20 / 2 = 10 km/h. Upstream speed = 20 / 4 = 5 km/h. Speed in still water = (10 + 5) / 2 = 7.5 km/h.
This question belongs to: Maths Time Speed and Distance
Question #565
A train traveling at 72 km/h crosses a static tunnel in 15 seconds. If the length of the train is 100 meters, find the length of the tunnel.
A. 220 meters
B. 180 meters
C. 200 meters
D. 240 meters
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Correct Answer: Option C

Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Total distance covered in 15 seconds = 20 * 15 = 300 meters. Length of tunnel = 300 - 100 = 200 meters.
This question belongs to: Maths Time Speed and Distance
Question #566
A car covers a total distance of 240 km. It travels the first half of the distance at 40 km/h and the second half at 60 km/h. Find the average speed for the full journey.
A. 46 km/h
B. 52 km/h
C. 50 km/h
D. 48 km/h
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Correct Answer: Option D

Explanation:
Average Speed = 2xy / (x + y) = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.
This question belongs to: Maths Time Speed and Distance
Question #567
A person can walk at 6 km/h. How many meters can he cover in 15 minutes?
A. 1400 meters
B. 1800 meters
C. 1500 meters
D. 1600 meters
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Correct Answer: Option C

Explanation:
Speed = 6 km/h = 6000 meters / 60 minutes = 100 meters per minute. Distance in 15 minutes = 100 * 15 = 1500 meters.
This question belongs to: Maths Time Speed and Distance
Question #568
A train 120 meters long is running at a speed of 54 km/h. How long will it take to cross a platform 180 meters long?
A. 18 seconds
B. 24 seconds
C. 20 seconds
D. 22 seconds
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Correct Answer: Option C

Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Total distance = 120 + 180 = 300 meters. Time taken = 300 / 15 = 20 seconds.
This question belongs to: Maths Time Speed and Distance
Question #569
A man rows a distance of 16 km downstream in 2 hours and returns upstream in 4 hours. Find the speed of the river current.
A. 2.5 km/h
B. 1.5 km/h
C. 3.0 km/h
D. 2.0 km/h
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Correct Answer: Option D

Explanation:
Downstream speed = 16 / 2 = 8 km/h. Upstream speed = 16 / 4 = 4 km/h. Speed of current = (8 - 4) / 2 = 4 / 2 = 2 km/h.
This question belongs to: Maths Time Speed and Distance
Question #570
Two cars start from the same spot and travel along perpendicular roads. One travels at 15 km/h and the other at 20 km/h. Find the distance between them after 2 hours.
A. 45 km
B. 50 km
C. 60 km
D. 55 km
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Correct Answer: Option B

Explanation:
In 2 hours, 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 #571
A sound wave travels at 330 m/s. How long does it take to cover a distance of 3.3 km?
A. 8 seconds
B. 10 seconds
C. 12 seconds
D. 14 seconds
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Correct Answer: Option B

Explanation:
Distance = 3.3 km = 3300 meters. Time taken = 3300 / 330 = 10 seconds.
This question belongs to: Maths Time Speed and Distance
Question #572
A person walks from home to school at 5 km/h and arrives 6 minutes late. If he runs at 6 km/h, he arrives 4 minutes early. Find the distance.
A. 6.0 km
B. 4.5 km
C. 5.5 km
D. 5.0 km
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Correct Answer: Option D

Explanation:
Time difference = 6 - (-4) = 10 minutes = 10/60 = 1/6 hours. 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 #573
A train 160 meters long crosses a pole in 8 seconds. What is its speed in km/h?
A. 84 km/h
B. 64 km/h
C. 80 km/h
D. 72 km/h
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Correct Answer: Option D

Explanation:
Speed of train = 160 / 8 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #574
A wheel makes 2000 revolutions to cover a distance of 1760 meters. Find the radius of the wheel.
A. 16 cm
B. 14 cm
C. 12 cm
D. 18 cm
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Correct Answer: Option B

Explanation:
Distance covered in 1 revolution = 1760 / 2000 = 0.88 meters = 88 cm. Circumference = 2 * (22/7) * r = 88 cm => (44/7) * r = 88 => r = 14 cm.
This question belongs to: Maths Time Speed and Distance
Question #575
Excluding stoppages, the speed of a train is 90 km/h and including stoppages it is 75 km/h. How many minutes does the train stop per hour?
A. 15 minutes
B. 12 minutes
C. 10 minutes
D. 8 minutes
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Correct Answer: Option C

Explanation:
Stoppage time per hour = (90 - 75) / 90 = 15 / 90 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.
This question belongs to: Maths Time Speed and Distance
Question #576
A boat can row 14 km/h in still water and the speed of the current is 2 km/h. Find the time taken to row 36 km upstream.
A. 2.5 hours
B. 4.0 hours
C. 3.5 hours
D. 3.0 hours
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Correct Answer: Option D

Explanation:
Upstream speed = 14 - 2 = 12 km/h. Time taken = 36 / 12 = 3 hours.
This question belongs to: Maths Time Speed and Distance
Question #577
A car travels a distance of 240 km at a uniform speed. If the speed is reduced by 10 km/h, it takes 2 hours longer. Find the original speed.
A. 50 km/h
B. 40 km/h
C. 30 km/h
D. 60 km/h
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Correct Answer: Option B

Explanation:
Let original speed be s. 240 / (s - 10) - 240 / s = 2 => 120 / (s - 10) - 120 / s = 1 => 1200 = s(s - 10). Solving s^2 - 10s - 1200 = 0 gives (s - 40)(s + 30) = 0. Since speed is positive, s = 40 km/h.
This question belongs to: Maths Time Speed and Distance
Question #578
A runner covers 200 meters in 22 seconds. Find his approximate speed in km/h.
A. 32.7 km/h
B. 30.5 km/h
C. 36.0 km/h
D. 34.2 km/h
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Correct Answer: Option A

Explanation:
Speed = 200 / 22 m/s = 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 #579
A train 150 meters long passing a platform 250 meters long takes 20 seconds. Find the speed of the train in km/h.
A. 80 km/h
B. 64 km/h
C. 72 km/h
D. 84 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 #580
Walking at 3/4 of his normal pace, a student is 12 minutes late. Find his usual time.
A. 40 minutes
B. 44 minutes
C. 36 minutes
D. 32 minutes
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Correct Answer: Option C

Explanation:
New speed = 3/4 of usual speed => New time = 4/3 of usual time. Difference = 1/3 of usual time = 12 minutes. Usual time = 12 * 3 = 36 minutes.
This question belongs to: Maths Time Speed and Distance

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