Time Speed and Distance MCQs with Answers and Solutions

Question #1

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A car travels at a speed of 54 km/h. What is its speed expressed in meters per second?

A. 15 m/s

B. 18 m/s

C. 10 m/s

D. 12 m/s

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Correct Answer: Option A

Explanation:
To convert km/h to m/s, multiply by 5/18. Speed = 54 * (5/18) = 3 * 5 = 15 m/s.

This question belongs to: Maths Time Speed and Distance

Question #2

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An athlete runs a 200-meter race in 24 seconds. Find his speed in km/h.

A. 30 km/h

B. 28.5 km/h

C. 24 km/h

D. 33.33 km/h

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Correct Answer: Option A

Explanation:
Speed in m/s = 200 / 24 = 25/3 m/s. To convert to km/h, multiply by 18/5. Speed = (25/3) * (18/5) = 5 * 6 = 30 km/h.

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Question #3

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A cyclist covers a distance of 750 meters in 2 minutes 30 seconds. What is the speed of the cyclist in km/h?

A. 24 km/h

B. 18 km/h

C. 20 km/h

D. 15 km/h

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Correct Answer: Option B

Explanation:
Time = 2 minutes + 30 seconds = 150 seconds. Speed = 750 / 150 = 5 m/s. Converting to km/h: 5 * (18/5) = 18 km/h.

This question belongs to: Maths Time Speed and Distance

Question #4

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How long will a person take to walk around a square field of side 45 meters if his speed is 9 km/h?

A. 72 seconds

B. 80 seconds

C. 64 seconds

D. 90 seconds

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Correct Answer: Option A

Explanation:
Perimeter of the square field = 4 * 45 = 180 meters. Speed = 9 km/h = 9 * (5/18) = 2.5 m/s. Time = Distance / Speed = 180 / 2.5 = 72 seconds.

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Question #5

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A train covers a distance of 360 km at a uniform speed. If the speed had been 10 km/h more, it would have taken 3 hours less for the same journey. What is the original speed of the train?

A. 35 km/h

B. 30 km/h

C. 25 km/h

D. 40 km/h

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Correct Answer: Option B

Explanation:
Let original speed be s. 360/s - 360/(s+10) = 3. Dividing by 3: 120/s - 120/(s+10) = 1. 120(s + 10 - s) = s(s + 10) => 1200 = s(s + 10). Solving s^2 + 10s - 1200 = 0 gives (s-30)(s+40) = 0. Since speed is positive, s = 30 km/h.

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Question #6

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A man covers a certain distance by car driving at 40 km/h and returns back to the starting point riding on a scooter at 10 km/h. Find his average speed for the whole journey.

A. 20 km/h

B. 25 km/h

C. 30 km/h

D. 16 km/h

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Correct Answer: Option D

Explanation:
When equal distances are covered at two different speeds x and y, Average Speed = 2xy / (x + y). Here, Average Speed = (2 * 40 * 10) / (40 + 10) = 800 / 50 = 16 km/h.

This question belongs to: Maths Time Speed and Distance

Question #7

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A person travels from P to Q at a speed of 30 km/h and returns from Q to P at a speed of 40 km/h. What is the ratio of time taken by him in the forward journey to that in the return journey?

A. 9:16

B. 3:4

C. 16:9

D. 4:3

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Correct Answer: Option D

Explanation:
Since distance is constant, time is inversely proportional to speed. Ratio of times = Speed2 : Speed1 = 40 : 30 = 4:3.

This question belongs to: Maths Time Speed and Distance

Question #8

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A person crosses a 600-meter long street in 5 minutes. What is his speed in km/h?

A. 7.2 km/h

B. 8.4 km/h

C. 3.6 km/h

D. 10 km/h

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Correct Answer: Option A

Explanation:
Time = 5 minutes = 300 seconds. Speed = 600 / 300 = 2 m/s. Speed in km/h = 2 * (18/5) = 36 / 5 = 7.2 km/h.

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Question #9

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Excluding stoppages, the speed of a bus is 54 km/h and including stoppages, it is 45 km/h. For how many minutes does the bus stop per hour?

A. 10 minutes

B. 15 minutes

C. 12 minutes

D. 9 minutes

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Correct Answer: Option A

Explanation:
Stoppage time per hour = (Fast Speed - Slow Speed) / Fast Speed = (54 - 45) / 54 = 9 / 54 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

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Question #10

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A thief is noticed by a policeman from a distance of 200 meters. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km/h and 11 km/h respectively. What is the distance between them after 6 minutes?

A. 190 meters

B. 100 meters

C. 180 meters

D. 150 meters

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Correct Answer: Option B

Explanation:
Relative speed = 11 - 10 = 1 km/h = 1 * (5/18) = 5/18 m/s. Distance covered in 6 minutes (360 seconds) = (5/18) * 360 = 100 meters. Remaining distance = 200 - 100 = 100 meters.

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Question #11

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Walking at 3/4 of his usual speed, a man is 20 minutes late to his office. Find his usual time to reach the office.

A. 50 minutes

B. 70 minutes

C. 80 minutes

D. 60 minutes

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Correct Answer: Option D

Explanation:
New Speed = 3/4 of usual speed, so New Time = 4/3 of usual time. Change in time = 4/3 * T - T = 1/3 * T = 20 minutes. Usual time T = 60 minutes.

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Question #12

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A man covers half of his journey at 6 km/h and the remaining half at 3 km/h. Find his average speed.

A. 5 km/h

B. 4.8 km/h

C. 4.5 km/h

D. 4 km/h

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Correct Answer: Option D

Explanation:
Average Speed = 2xy / (x + y) = (2 * 6 * 3) / (6 + 3) = 36 / 9 = 4 km/h.

This question belongs to: Maths Time Speed and Distance

Question #13

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A train passes a standing man in 6 seconds and a 210-meter long platform in 16 seconds. Find the speed of the train.

A. 54 km/h

B. 75.6 km/h

C. 80 km/h

D. 72 km/h

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Correct Answer: Option B

Explanation:
Let length of train be L. Speed = L/6. Also, Speed = (L + 210)/16. Equating them: L/6 = (L+210)/16 => 16L = 6L + 1260 => 10L = 1260 => L = 126 meters. Speed = 126 / 6 = 21 m/s. Speed in km/h = 21 * (18/5) = 378 / 5 = 75.6 km/h.

This question belongs to: Maths Time Speed and Distance

Question #14

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Two trains 140 meters and 160 meters long are running at the speeds of 60 km/h and 40 km/h respectively in opposite directions on parallel tracks. What is the time taken by them to cross each other completely?

A. 12 seconds

B. 9 seconds

C. 10.8 seconds

D. 10 seconds

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Correct Answer: Option C

Explanation:
Total distance to be covered = 140 + 160 = 300 meters. Relative speed = 60 + 40 = 100 km/h = 100 * (5/18) = 250/9 m/s. Time = Distance / Speed = 300 / (250/9) = 300 * 9 / 250 = 10.8 seconds.

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Question #15

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A train 150 meters long takes 20 seconds to cross a platform 250 meters long. Find the speed of the train in km/h.

A. 64 km/h

B. 50 km/h

C. 72 km/h

D. 80 km/h

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Correct Answer: Option C

Explanation:
Total distance = 150 + 250 = 400 meters. Time = 20 seconds. Speed = 400 / 20 = 20 m/s. Speed in km/h = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance

Question #16

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A motorboat covers a certain distance downstream in 4 hours and covers the same distance upstream in 5 hours. If the speed of the stream is 2 km/h, find the speed of the motorboat in still water.

A. 22 km/h

B. 18 km/h

C. 20 km/h

D. 15 km/h

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Correct Answer: Option B

Explanation:
Let speed of boat in still water be v. Downstream speed = v + 2, Upstream speed = v - 4. Distance is same, so 4(v + 2) = 5(v - 2) => 4v + 8 = 5v - 10 => v = 18 km/h.

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Question #17

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A man can row 6 km/h in still water. If the speed of the current is 2 km/h, it takes him 3 hours to row to a place and back. How far is the place?

A. 10 km

B. 8 km

C. 12 km

D. 6 km

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Correct Answer: Option B

Explanation:
Downstream speed = 6 + 2 = 8 km/h. Upstream speed = 6 - 2 = 4 km/h. Let distance be d. d/8 + d/4 = 3 => (d + 2d)/8 = 3 => 3d/8 = 3 => d = 8 km.

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Question #18

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A man wins a race of 100 meters over another man by 10 meters or 2 seconds. Find the time taken by the winner to complete the race.

A. 16 seconds

B. 20 seconds

C. 18 seconds

D. 22 seconds

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Correct Answer: Option C

Explanation:
The second man covers 10 meters in 2 seconds, so his speed = 10 / 2 = 5 m/s. Total time taken by second man to complete 100m = 100 / 5 = 20 seconds. Since the winner beats him by 2 seconds, winner's time = 20 - 2 = 18 seconds.

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Question #19

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A car traveling at 60 km/h covers a certain distance in 4 hours. At what speed must it travel to cover the same distance in 3 hours?

A. 85 km/h

B. 80 km/h

C. 90 km/h

D. 75 km/h

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Correct Answer: Option B

Explanation:
Distance = Speed * Time = 60 * 4 = 240 km. Required Speed = Distance / New Time = 240 / 3 = 80 km/h.

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Question #20

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A train 300 meters long crosses a platform of length 600 meters in 45 seconds. What is the speed of the train in km/h?

A. 60 km/h

B. 80 km/h

C. 72 km/h

D. 90 km/h

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Correct Answer: Option C

Explanation:
Total distance = 300 + 600 = 900 meters. Speed = 900 / 45 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance

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