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 #141
A train 110 meters long is traveling at 60 km/h. How much time will it take to pass a platform 240 meters long?
A. 18 seconds
B. 21 seconds
C. 24 seconds
D. 27 seconds
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Correct Answer: Option B

Explanation:
Total distance = 110 + 240 = 350 meters. Speed = 60 * (5/18) = 50/3 m/s. Time = 350 / (50/3) = 350 * 3 / 50 = 7 * 3 = 21 seconds.
This question belongs to: Maths Time Speed and Distance
Question #142
A man covers a distance of 24 km in 3 hours. If he doubles his speed, how much time will he take to cover a distance of 32 km?
A. 2 hours
B. 1 hour
C. 4 hours
D. 3 hours
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Correct Answer: Option A

Explanation:
Original speed = 24 / 3 = 8 km/h. Doubled speed = 16 km/h. Time required for 32 km = 32 / 16 = 2 hours.
This question belongs to: Maths Time Speed and Distance
Question #143
If a car travels at a speed of 45 km/h, how many meters does it travel in one minute?
A. 700 meters
B. 800 meters
C. 750 meters
D. 650 meters
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Correct Answer: Option C

Explanation:
Speed = 45 km/h = 45 * (1000 / 60) meters per minute = 45 * 16.666... = 750 meters per minute. Thus, it covers 750 meters in one minute.
This question belongs to: Maths Time Speed and Distance
Question #144
A contract courier can travel at 40 km/h to deliver a package on time. If he travels at 30 km/h, he is late by 2 hours. What is the distance he has to cover?
A. 300 km
B. 240 km
C. 180 km
D. 260 km
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Correct Answer: Option B

Explanation:
Let the distance be d. Time difference = 2 hours. d/30 - d/40 = 2 => (4d - 3d) / 120 = 2 => d / 120 = 2 => d = 240 km.
This question belongs to: Maths Time Speed and Distance
Question #145
Two athletes run a race of 400 meters. The ratio of their speeds is 4 : 5. If the faster runner completes the race, how far ahead is he from the slower runner at that instant?
A. 120 meters
B. 80 meters
C. 60 meters
D. 100 meters
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Correct Answer: Option B

Explanation:
When the faster runner covers 5 parts = 400 meters, 1 part = 80 meters. In the same time, the slower runner covers 4 parts = 4 * 80 = 320 meters. Distance between them = 400 - 320 = 80 meters.
This question belongs to: Maths Time Speed and Distance
Question #146
A train 160 meters long running at 54 km/h crosses a platform in 24 seconds. Find the length of the platform.
A. 220 meters
B. 200 meters
C. 240 meters
D. 180 meters
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Correct Answer: Option B

Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Total distance covered in 24 seconds = 15 * 24 = 360 meters. Platform length = 360 - 160 = 200 meters.
This question belongs to: Maths Time Speed and Distance
Question #147
A man rows downstream 36 km in 3 hours and upstream 18 km in 3 hours. Find the speed of the boat in still water.
A. 9 km/h
B. 10 km/h
C. 8 km/h
D. 12 km/h
Discuss
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Correct Answer: Option A

Explanation:
Downstream speed = 36 / 3 = 12 km/h. Upstream speed = 18 / 3 = 6 km/h. Speed in still water = (12 + 6) / 2 = 9 km/h.
This question belongs to: Maths Time Speed and Distance
Question #148
A person walks from his home to his shop at a speed of 5 km/h and arrives 6 minutes early. If he walks at 4 km/h, he arrives 6 minutes late. Find the distance between his home and shop.
A. 5 km
B. 6 km
C. 4 km
D. 3 km
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Correct Answer: Option C

Explanation:
Time difference = 6 - (-6) = 12 minutes = 12/60 = 1/5 hour. Let distance be d. d/4 - d/5 = 1/5 => d/20 = 1/5 => d = 4 km.
This question belongs to: Maths Time Speed and Distance
Question #149
The speeds of two running trains are in the ratio 7 : 9. Moving along parallel tracks in opposite directions, they take 4 seconds each to cross a telegraph post. Find the time taken by them to cross each other completely.
A. 5 seconds
B. 3.5 seconds
C. 4.5 seconds
D. 4 seconds
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Correct Answer: Option D

Explanation:
Let the speeds be 7x and 9x. Length of first train = 7x * 4 = 28x. Length of second train = 9x * 4 = 36x. Total distance to cross each other = 28x + 36x = 64x. Relative speed in opposite directions = 7x + 9x = 16x. Time taken = 64x / 16x = 4 seconds.
This question belongs to: Maths Time Speed and Distance
Question #150
A person runs along the sides of an equilateral triangular field at speeds of 10 km/h, 15 km/h and 30 km/h respectively. Find his average speed for the entire perimeter.
A. 18 km/h
B. 15 km/h
C. 20 km/h
D. 12 km/h
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Correct Answer: Option B

Explanation:
Let each side of the triangular field be 30 km (LCM of 10, 15, 30). Total distance = 3 * 30 = 90 km. Total time taken = 30/10 + 30/15 + 30/30 = 3 + 2 + 1 = 6 hours. Average speed = 90 / 6 = 15 km/h.
This question belongs to: Maths Time Speed and Distance
Question #151
A bus moving at 42 km/h covers a distance in 8 hours. At what speed must it travel to cover the same distance in 6 hours?
A. 56 km/h
B. 52 km/h
C. 60 km/h
D. 64 km/h
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Correct Answer: Option A

Explanation:
Distance = 42 * 8 = 336 km. Required speed = 336 / 6 = 56 km/h.
This question belongs to: Maths Time Speed and Distance
Question #152
A train running at 72 km/h passes a tunnel 300 meters long in 25 seconds. Find the length of the train.
A. 250 meters
B. 150 meters
C. 200 meters
D. 300 meters
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Correct Answer: Option C

Explanation:
Speed = 72 * (5/18) = 20 m/s. Total distance in 25 seconds = 20 * 25 = 500 meters. Length of train = 500 - 300 = 200 meters.
This question belongs to: Maths Time Speed and Distance
Question #153
Walking at 6/7 of his usual speed, a man is 15 minutes late to his destination. What is his usual time to reach the destination?
A. 120 minutes
B. 90 minutes
C. 75 minutes
D. 100 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 = 15 minutes. Usual time = 15 * 6 = 90 minutes.
This question belongs to: Maths Time Speed and Distance
Question #154
A boat goes 6 km upstream and returns back to the starting point in 2 hours. If the speed of the stream is 4 km/h, find the speed of the boat in still water.
A. 8 km/h
B. 10 km/h
C. 12 km/h
D. 6 km/h
Discuss
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Correct Answer: Option A

Explanation:
Let speed of boat in still water be v. 6 / (v - 4) + 6 / (v + 4) = 2 => 3 / (v - 4) + 3 / (v + 4) = 1 => 3(v + 4 + v - 4) = v^2 - 16 => 6v = v^2 - 16 => v^2 - 6v - 16 = 0. Solving the quadratic equation gives (v - 8)(v + 2) = 0. Since speed must be positive, v = 8 km/h.
This question belongs to: Maths Time Speed and Distance
Question #155
Two cars leave a location simultaneously at a right angle to each other. Their speeds are 36 km/h and 48 km/h respectively. Find the direct distance between them after 15 minutes.
A. 18 km
B. 12 km
C. 20 km
D. 15 km
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Correct Answer: Option D

Explanation:
Time = 15 minutes = 0.25 hours. Distance covered by first car = 36 * 0.25 = 9 km. Distance covered by second car = 48 * 0.25 = 12 km. Since they travel at right angles, distance between them = sqrt(9^2 + 12^2) = sqrt(81 + 144) = sqrt(225) = 15 km.
This question belongs to: Maths Time Speed and Distance
Question #156
A train traveling at 60 km/h overtakes a motor cyclist riding at 12 km/h in the same direction in 12 seconds. Find the length of the train.
A. 180 meters
B. 200 meters
C. 140 meters
D. 160 meters
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Correct Answer: Option D

Explanation:
Relative speed = 60 - 12 = 48 km/h = 48 * (5/18) = 40/3 m/s. Length of train = Relative speed * Time = (40/3) * 12 = 160 meters.
This question belongs to: Maths Time Speed and Distance
Question #157
A sound wave takes 4 seconds to travel a distance between two structures. If the speed of sound is 340 m/s, what is the distance between the structures in kilometers?
A. 1.42 km
B. 1.36 km
C. 1.24 km
D. 1.50 km
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Correct Answer: Option B

Explanation:
Distance = Speed * Time = 340 * 4 = 1360 meters. Converting to kilometers = 1360 / 1000 = 1.36 km.
This question belongs to: Maths Time Speed and Distance
Question #158
A person can row 8 km/h in still water. He finds that it takes him thrice as long to row upstream as to row downstream. Find the speed of the current.
A. 6 km/h
B. 4 km/h
C. 3 km/h
D. 5 km/h
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Correct Answer: Option B

Explanation:
Let current speed be c. Upstream speed = 8 - c, Downstream speed = 8 + c. Given: 3 * (8 - c) = 8 + c => 24 - 3c = 8 + c => 4c = 16 => c = 4 km/h.
This question belongs to: Maths Time Speed and Distance
Question #159
A man covers 50 km at a speed of 25 km/h and another 90 km at a speed of 30 km/h. Find his average speed for the whole journey.
A. 28.5 km/h
B. 30 km/h
C. 28 km/h
D. 26.5 km/h
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Correct Answer: Option C

Explanation:
Total distance = 50 + 90 = 140 km. Time for first part = 50 / 25 = 2 hours. Time for second part = 90 / 30 = 3 hours. Total time = 5 hours. Average speed = 140 / 5 = 28 km/h.
This question belongs to: Maths Time Speed and Distance
Question #160
A train 100 meters long running at 90 km/h crosses another train 150 meters long running at 54 km/h in the same direction. How much time do they take to cross each other?
A. 25 seconds
B. 35 seconds
C. 30 seconds
D. 20 seconds
Discuss
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Correct Answer: Option A

Explanation:
Total distance = 100 + 150 = 250 meters. Relative speed in same direction = 90 - 54 = 36 km/h = 36 * (5/18) = 10 m/s. Time taken = 250 / 10 = 25 seconds.
This question belongs to: Maths Time Speed and Distance

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