Time Speed and Distance MCQs with Answers and Solutions

Question #301

A truck covers a distance of 240 km in 4 hours. How much time will it take to cover a distance of 180 km at the same speed?

A. 4.0 hours

B. 3.5 hours

C. 3.0 hours

D. 2.5 hours

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Correct Answer: Option C

Explanation:
Speed of truck = 240 / 4 = 60 km/h. Time taken for 180 km = 180 / 60 = 3 hours.

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Question #302

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Two trains of equal length cross a pole in 10 seconds and 20 seconds respectively. If the length of each train is 100 meters, find the time taken by them to pass each other when running in opposite directions.

A. 14.50 seconds

B. 12.24 seconds

C. 15.00 seconds

D. 13.33 seconds

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Correct Answer: Option D

Explanation:
Speed of first train = 100 / 10 = 10 m/s. Speed of second train = 100 / 20 = 5 m/s. Total distance to cross = 100 + 100 = 200 meters. Relative speed in opposite directions = 10 + 5 = 15 m/s. Time taken = 200 / 15 = 13.33 seconds.

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Question #303

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A person covers 1/3 of a distance at 20 km/h, 1/3 at 30 km/h and the last 1/3 at 60 km/h. Find the average speed.

A. 28 km/h

B. 32 km/h

C. 30 km/h

D. 35 km/h

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Correct Answer: Option C

Explanation:
Let each third of the distance be 60 km. Total distance = 180 km. Total time taken = 60/20 + 60/30 + 60/60 = 3 + 2 + 1 = 6 hours. Average speed = 180 / 6 = 30 km/h.

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Question #304

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A person leaves point A at 5:00 AM at 30 km/h. Another leaves A at 7:00 AM at 40 km/h in the same direction. At what distance from A will they meet?

A. 280 km

B. 260 km

C. 220 km

D. 240 km

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Correct Answer: Option D

Explanation:
By 7:00 AM, the first person covers 30 * 2 = 60 km. Relative speed = 40 - 30 = 10 km/h. Time to meet = 60 / 10 = 6 hours. Distance from A = Speed of second person * Time = 40 * 6 = 240 km.

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Question #305

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A train 125 meters long passes a running man in 10 seconds when both move in the same direction. If the speed of the man is 5 km/h, find the speed of the train.

A. 55 km/h

B. 50 km/h

C. 45 km/h

D. 60 km/h

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Correct Answer: Option B

Explanation:
Relative speed = 125 / 10 = 12.5 m/s = (12.5) * (18/5) = 45 km/h. In the same direction, Relative Speed = Speed of train - Speed of man => 45 = Speed of train - 5 => Speed of train = 50 km/h.

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Question #306

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A motorboat covers 16 km downstream in 1 hour and covers the same distance upstream in 2 hours. Find the speed of the boat in still water.

A. 15 km/h

B. 10 km/h

C. 14 km/h

D. 12 km/h

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Correct Answer: Option D

Explanation:
Downstream speed = 16 / 1 = 16 km/h. Upstream speed = 16 / 2 = 8 km/h. Speed in still water = (16 + 8) / 2 = 12 km/h.

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Question #307

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A man can row 12 km/h in still water. He finds that it takes him twice as long to row upstream as to row downstream. Find the speed of the stream.

A. 5 km/h

B. 6 km/h

C. 4 km/h

D. 3 km/h

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Correct Answer: Option C

Explanation:
Let stream speed be c. Upstream speed = 12 - c, Downstream speed = 12 + c. Given: 2 * (12 - c) = 12 + c => 24 - 2c = 12 + c => 3c = 12 => c = 4 km/h.

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Question #308

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A car travels from A to B at 45 km/h and returns to A at 55 km/h. What is the approximate average speed for the round journey?

A. 48.2 km/h

B. 51.4 km/h

C. 50.0 km/h

D. 49.5 km/h

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Correct Answer: Option D

Explanation:
Average Speed = 2xy / (x + y) = (2 * 45 * 55) / (45 + 55) = 4950 / 100 = 49.5 km/h.

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Question #309

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A train passes a pedestrian standing on a platform in 6 seconds and passes the platform itself, which is 150 meters long, in 11 seconds. Find the speed of the train in km/h.

A. 120 km/h

B. 135 km/h

C. 90 km/h

D. 108 km/h

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Correct Answer: Option D

Explanation:
Time taken to cross the platform alone = 11 - 6 = 5 seconds. Speed of train = 150 / 5 = 30 m/s. In km/h = 30 * (18/5) = 108 km/h.

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Question #310

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The speed of a train is 25% more than the speed of a car. Both start from city P at the same time and reach city Q, 150 km away, at the same time. On the way, the train stops for 15 minutes at various stations. What is the speed of the car?

A. 120 km/h

B. 150 km/h

C. 140 km/h

D. 100 km/h

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Correct Answer: Option A

Explanation:
Let car speed be c, then train speed is 1.25c. Time difference = 150/c - 150/(1.25c) = 15/60 hour = 1/4 hour. 150/c * (1 - 1/1.25) = 1/4 => 150/c * (0.25/1.25) = 1/4 => 150/c * (1/5) = 1/4 => 30/c = 1/4 => c = 120 km/h.

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Question #311

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A person walking at 3 km/h covers a certain distance. If he runs at 9 km/h, he takes 40 minutes less to cover the same distance. 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 = 40 minutes = 40/60 = 2/3 hours. Let distance be d. d / 3 - d / 9 = 2/3 => 2d / 9 = 2/3 => 2d = 6 => d = 3 km.

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Question #312

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A train 160 meters long passes a signal pole in 8 seconds. Find the time it takes to completely cross a platform 320 meters long.

A. 26 seconds

B. 24 seconds

C. 28 seconds

D. 22 seconds

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Correct Answer: Option B

Explanation:
Speed of train = 160 / 8 = 20 m/s. Total distance to pass platform = 160 + 320 = 480 meters. Time required = 480 / 20 = 24 seconds.

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Question #313

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A person rows 18 km downstream in 2 hours and covers the same distance upstream in 6 hours. What is the speed of the boat in still water?

A. 7 km/h

B. 6 km/h

C. 8 km/h

D. 5 km/h

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Correct Answer: Option B

Explanation:
Downstream speed = 18 / 2 = 9 km/h. Upstream speed = 18 / 6 = 3 km/h. Speed in still water = (9 + 3) / 2 = 6 km/h.

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Question #314

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A truck travels 450 meters in 30 seconds. Find its speed in km/h.

A. 48 km/h

B. 60 km/h

C. 66 km/h

D. 54 km/h

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Correct Answer: Option D

Explanation:
Speed = 450 / 30 = 15 m/s. In km/h = 15 * (18/5) = 54 km/h.

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Question #315

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Walking at 7/9 of his usual speed, a man reaches his destination 16 minutes late. Find his usual time.

A. 60 minutes

B. 50 minutes

C. 64 minutes

D. 56 minutes

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Correct Answer: Option D

Explanation:
New speed = 7/9 of usual speed => New time = 9/7 of usual time. Difference = 2/7 of usual time = 16 minutes. 1/7 of usual time = 8 minutes => Usual time = 56 minutes.

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Question #316

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Two trains 120 meters and 80 meters long are running along parallel tracks in the same direction at speeds of 46 km/h and 36 km/h respectively. In what time will the faster train cross the slower train completely?

A. 64 seconds

B. 80 seconds

C. 72 seconds

D. 90 seconds

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Correct Answer: Option C

Explanation:
Total distance = 120 + 80 = 200 meters. Relative speed in same direction = 46 - 36 = 10 km/h = 10 * (5/18) = 25/9 m/s. Time required = 200 / (25/9) = 200 * 9 / 25 = 8 * 9 = 72 seconds.

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Question #317

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A car covers a distance of 120 km at 30 km/h and another 120 km at 50 km/h. Find the total time spent during the journey.

A. 7.2 hours

B. 6.0 hours

C. 6.4 hours

D. 6.8 hours

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Correct Answer: Option C

Explanation:
Time for first part = 120 / 30 = 4 hours. Time for second part = 120 / 50 = 2.4 hours. Total time taken = 4 + 2.4 = 6.4 hours.

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Question #318

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A man rows a boat 20 km downstream in 2 hours and returns upstream in 5 hours. Find the speed of the stream.

A. 3.5 km/h

B. 4.0 km/h

C. 2.5 km/h

D. 3.0 km/h

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Correct Answer: Option D

Explanation:
Downstream speed = 20 / 2 = 10 km/h. Upstream speed = 20 / 5 = 4 km/h. Speed of stream = (10 - 4) / 2 = 6 / 2 = 3 km/h.

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Question #319

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A train passes a static post in 12 seconds. If the speed of the train is 60 km/h, what is the length of the train?

A. 220 meters

B. 180 meters

C. 200 meters

D. 240 meters

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Correct Answer: Option C

Explanation:
Speed of train = 60 * (5/18) = 50/3 m/s. Length of train = Speed * Time = (50/3) * 12 = 200 meters.

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Question #320

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A car covers a distance of 240 km in 3 hours 20 minutes. Find its average speed.

A. 80 km/h

B. 75 km/h

C. 72 km/h

D. 68 km/h

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Correct Answer: Option C

Explanation:
Time = 3 hours 20 minutes = 3 + 20/60 = 3.333 hours = 10/3 hours. Speed = Distance / Time = 240 / (10/3) = 240 * 3 / 10 = 72 km/h.

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