Time Speed and Distance MCQs with Answers and Solutions

Question #21

Two boys start running from the same point in the same direction along a circular track at speeds of 5 m/s and 8 m/s. If the track length is 400 meters, after how much time will they meet for the first time?

A. 150 seconds

B. 133.33 seconds

C. 100 seconds

D. 200 seconds

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Correct Answer: Option B

Explanation:
Relative speed = 8 - 5 = 3 m/s. Time to meet for the first time = Circumference / Relative speed = 400 / 3 = 133.33 seconds.

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Question #22

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If a man walks at 14 km/h instead of 10 km/h, he would have walked 20 km more. What is the actual distance traveled by him?

A. 40 km

B. 50 km

C. 70 km

D. 60 km

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Correct Answer: Option B

Explanation:
Let the time taken be t hours. Distance difference = 14t - 10t = 4t = 20 km => t = 5 hours. Actual distance = 10 * 5 = 50 km.

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Question #23

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A person covers a distance in 40 minutes if he drives at an average speed of 45 km/h. At what speed must he drive to reduce the time of journey to 30 minutes?

A. 70 km/h

B. 60 km/h

C. 54 km/h

D. 64 km/h

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Correct Answer: Option B

Explanation:
Distance is constant, so S1 * T1 = S2 * T2 => 45 * 40 = S2 * 30 => S2 = (45 * 40) / 30 = 60 km/h.

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Question #24

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A train starts from Delhi at 6:00 AM and reaches Ambala at 10:00 AM. Another train starts from Ambala at 8:00 AM and reaches Delhi at 11:30 AM. At what time do the two trains cross each other?

A. 9:36 AM

B. 9:24 AM

C. 9:12 AM

D. 8:56 AM

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Correct Answer: Option D

Explanation:
Train 1 takes 4 hours, Train 2 takes 3.5 hours (7/2 hours). Let distance be LCM(4, 3.5) = 28 units. Speed of Train 1 = 7 units/h, Speed of Train 2 = 8 units/h. By 8:00 AM, Train 1 travels 2 hours * 7 = 14 units. Remaining distance = 28 - 14 = 14 units. Relative speed = 7 + 8 = 15 units/h. Time to meet after 8 AM = 14/15 hours = 56 minutes. Meeting time = 8:56 AM.

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Question #25

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A man can row 9 km/h in still water and he finds that it takes him twice as much time to row up than to row down the same distance. Find the speed of the current.

A. 3 km/h

B. 2 km/h

C. 4.5 km/h

D. 4 km/h

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Correct Answer: Option A

Explanation:
Let speed of current be c. Downstream speed = 9 + c, Upstream speed = 9 - c. Since time is twice for upstream, speed must be half: 9 - c = (9 + c) / 2 => 18 - 2c = 9 + c => 3c = 9 => c = 3 km/h.

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Question #26

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An aeroplane flies along the four sides of a square at speeds of 200, 400, 600 and 800 km/h. Find the average speed of the plane around the field.

A. 500 km/h

B. 400 km/h

C. 384 km/h

D. 432 km/h

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Correct Answer: Option C

Explanation:
Let each side of square be 2400 km (LCM of 200, 400, 600, 800). Total distance = 4 * 2400 = 9600 km. Total time = 2400/200 + 2400/400 + 2400/600 + 2400/800 = 12 + 6 + 4 + 3 = 25 hours. Average speed = 9600 / 25 = 384 km/h.

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Question #27

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A car covers a certain distance at a speed of 48 km/h in 50 minutes. With what speed should it run to decrease the time of journey by 10 minutes?

A. 60 km/h

B. 54 km/h

C. 72 km/h

D. 64 km/h

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Correct Answer: Option A

Explanation:
Original time = 50 mins. New time = 50 - 10 = 40 mins. S1 * T1 = S2 * T2 => 48 * 50 = S2 * 40 => S2 = (48 * 50) / 40 = 60 km/h.

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Question #28

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A train running at the speed of 60 km/h crosses a pole in 9 seconds. What is the length of the train?

A. 200 meters

B. 150 meters

C. 120 meters

D. 180 meters

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Correct Answer: Option B

Explanation:
Speed = 60 * (5/18) = 50/3 m/s. Length = Speed * Time = (50/3) * 9 = 150 meters.

This question belongs to: Maths Time Speed and Distance

Question #29

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The ratio between the speeds of two trains is 7:8. If the second train runs 400 km in 4 hours, then the speed of the first train is:

A. 70 km/h

B. 84 km/h

C. 87.5 km/h

D. 75 km/h

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Correct Answer: Option C

Explanation:
Speed of second train = 400 / 4 = 100 km/h. Ratio is 7:8, so 8 parts = 100 km/h. 1 part = 12.5 km/h. First train speed = 7 parts = 7 * 12.5 = 87.5 km/h.

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Question #30

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A man rows upstream 13 km and downstream 28 km, taking 5 hours each time. Find the speed of the stream.

A. 2.5 km/h

B. 3 km/h

C. 2 km/h

D. 1.5 km/h

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Correct Answer: Option D

Explanation:
Upstream speed = 13 / 5 = 2.6 km/h. Downstream speed = 28 / 5 = 5.6 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (5.6 - 2.6) / 2 = 3 / 2 = 1.5 km/h.

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Question #31

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A person walks from his house to his office at a speed of 4 km/h and reaches 10 minutes late. If he walks at 5 km/h, he reaches 5 minutes early. Find the distance between his house and office.

A. 4 km

B. 5 km

C. 6 km

D. 8 km

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Correct Answer: Option B

Explanation:
Time difference = 10 - (-5) = 15 minutes = 1/4 hour. Let distance be d. d/4 - d/5 = 1/4 => d/20 = 1/4 => d = 5 km.

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Question #32

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Two cars A and B travel from one city to another at speeds of 72 km/h and 90 km/h respectively. If car A takes 1 hour more than car B for the journey, what is the distance between the two cities?

A. 360 km

B. 500 km

C. 400 km

D. 450 km

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Correct Answer: Option A

Explanation:
Let distance be d. d/72 - d/90 = 1 => (5d - 4d)/360 = 1 => d/360 = 1 => d = 360 km.

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Question #33

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A train 240 meters long passes a pole in 24 seconds. How long will it take to pass a platform 650 meters long?

A. 114 seconds

B. 100 seconds

C. 89 seconds

D. 65 seconds

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Correct Answer: Option C

Explanation:
Speed of train = 240 / 24 = 10 m/s. Total distance to pass platform = 240 + 650 = 890 meters. Time taken = 890 / 10 = 89 seconds.

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Question #34

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A generic bullet train covers a distance between two stations in 2 hours 30 minutes at a speed of 120 km/h. How much time will it take to cover the same distance at a speed of 150 km/h?

A. 2.2 hours

B. 1.5 hours

C. 2.15 hours

D. 2 hours

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Correct Answer: Option D

Explanation:
Distance = 120 * 2.5 = 300 km. Time at 150 km/h = 300 / 150 = 2 hours.

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Question #35

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A man can walk a certain distance in 6 hours and ride back in 2 hours. If he rides both ways, he will save 2 hours. How much time will he take if he walks both ways?

A. 14 hours

B. 10 hours

C. 12 hours

D. 8 hours

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Correct Answer: Option B

Explanation:
Let W be walking time one way and R be riding time one way. W + R = 6 + 2 = 8 hours (total trip: walk one way, ride back). If he rides both ways, total time is 2R. He saves 2 hours, so 2R = 8 - 2 = 6 hours => R = 3 hours. From W + R = 8, W = 5 hours. Walking both ways takes 2W = 10 hours.

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Question #36

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A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours 30 minutes. Find the speed of the boat in still water.

A. 14 km/h

B. 8 km/h

C. 12 km/h

D. 10 km/h

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Correct Answer: Option D

Explanation:
Let 1/u = x and 1/d = y. 24x + 28y = 6 and 30x + 21y = 6.5. Solving these linear equations gives x = 1/6 and y = 1/14. So upstream speed u = 6 km/h, downstream speed d = 14 km/h. Speed in still water = (d + u)/2 = (14 + 6)/2 = 10 km/h.

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Question #37

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Two distinct points A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at constant speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What is the speed of the faster car?

A. 50 km/h

B. 55 km/h

C. 60 km/h

D. 45 km/h

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Correct Answer: Option C

Explanation:
Let speeds be x and y (x > y). Same direction relative speed = x - y = 100 / 5 = 20 km/h. Opposite direction relative speed = x + y = 100 / 1 = 100 km/h. Adding equations: 2x = 120 => x = 60 km/h.

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Question #38

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A train passes a platform 110 meters long in 40 seconds and a boy standing on the platform in 30 seconds. Find the length of the train.

A. 330 meters

B. 300 meters

C. 350 meters

D. 400 meters

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Correct Answer: Option A

Explanation:
Let length of train be L. Speed = L/30. Also, Speed = (L+110)/40. So L/30 = (L+110)/40 => 4L = 3L + 330 => L = 330 meters.

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Question #39

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A distance of 600 km is covered by a passenger train in 12 hours. If the speed of an express train is 20 km/h more than that of the passenger train, how much less time will the express train take to cover the same distance?

A. 4 hours

B. 2 hours

C. 3.4 hours

D. 3 hours

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Correct Answer: Option C

Explanation:
Speed of passenger train = 600 / 12 = 50 km/h. Speed of express train = 50 + 20 = 70 km/h. Time taken by express train = 600 / 70 = 8.57 hours (approx 8 hours 34 minutes). Time saved = 12 - 8.57 = 3.43 hours.

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Question #40

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The speed of a boat in still water is 15 km/h and the speed of the current is 3 km/h. Distance traveled downstream in 12 minutes is:

A. 2.4 km

B. 4.8 km

C. 3.6 km

D. 4 km

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Correct Answer: Option C

Explanation:
Downstream speed = 15 + 3 = 18 km/h. Time = 12 minutes = 12/60 = 0.2 hours. Distance = Speed * Time = 18 * 0.2 = 3.6 km.

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