Time Speed and Distance MCQs with Answers and Solutions

Question #61

A train leaves a station at 4:00 PM and travels at an average speed of 60 km/h. Another train leaves the same station at 5:00 PM in the same direction at an average speed of 80 km/h. At what time will the second train catch up with the first train?

A. 8:30 PM

B. 9:00 PM

C. 7:00 PM

D. 8:00 PM

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Correct Answer: Option D

Explanation:
By 5:00 PM, the first train has traveled for 1 hour and covered 60 km. Relative speed = 80 - 60 = 20 km/h. Time needed to catch up = 60 / 20 = 3 hours. Catch up time = 5:00 PM + 3 hours = 8:00 PM.

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Question #62

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A man covers 40% of his journey at 40 km/h, 50% of the remaining at 30 km/h and the rest at 15 km/h. What is his average speed for the whole journey?

A. 24 km/h

B. 25 km/h

C. 28 km/h

D. 30 km/h

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Correct Answer: Option B

Explanation:
Let total distance be 100 km. First part: 40 km at 40 km/h => time = 1 hour. Remaining distance = 60 km. Second part: 50% of 60 = 30 km at 30 km/h => time = 1 hour. Remaining distance = 30 km. Third part: 30 km at 15 km/h => time = 2 hours. Total time = 1 + 1 + 2 = 4 hours. Average speed = 100 / 4 = 25 km/h.

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Question #63

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A carriage driving in a fog passed a man who was walking at the rate of 3 km/h in the same direction. He could see the carriage for 4 minutes and it was visible to him up to a distance of 100 meters. What is the speed of the carriage?

A. 5 km/h

B. 4.5 km/h

C. 6 km/h

D. 5.5 km/h

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Correct Answer: Option B

Explanation:
Time = 4 minutes = 4/60 = 1/15 hour. Distance = 100 meters = 0.1 km. Relative speed = Distance / Time = 0.1 / (1/15) = 1.5 km/h. Since the carriage moves in the same direction, Relative Speed = Speed of carriage - Speed of man => 1.5 = Speed of carriage - 3 => Speed of carriage = 4.5 km/h.

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Question #64

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A car climbs a hill at 24 km/h and descends the same hill at 36 km/h. Find the average speed of the car for the entire journey.

A. 30 km/h

B. 28.8 km/h

C. 32 km/h

D. 33.2 km/h

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Correct Answer: Option B

Explanation:
Average Speed = (2 * 24 * 36) / (24 + 36) = 1728 / 60 = 28.8 km/h.

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Question #65

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A train 150 meters long is running at 72 km/h. How long will it take to pass a platform of length 250 meters?

A. 18 seconds

B. 15 seconds

C. 24 seconds

D. 20 seconds

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Correct Answer: Option D

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

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Question #66

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A walk at 5/6 of usual speed makes a person 10 minutes late. What is his usual time?

A. 70 minutes

B. 50 minutes

C. 60 minutes

D. 40 minutes

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Correct Answer: Option B

Explanation:
New Speed = 5/6 of usual speed => New Time = 6/5 of usual time. Difference = 1/5 * Usual Time = 10 minutes => Usual Time = 50 minutes.

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Question #67

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A man rows downstream 40 km in 4 hours and upstream 24 km in 4 hours. What is the speed of the stream?

A. 4 km/h

B. 3 km/h

C. 1 km/h

D. 2 km/h

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Correct Answer: Option D

Explanation:
Downstream speed = 40 / 4 = 10 km/h. Upstream speed = 24 / 4 = 6 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (10 - 6) / 2 = 2 km/h.

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Question #68

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Two cities A and B are 360 km apart. A car goes from A to B at 40 km/h and returns to A at 60 km/h. Find the average speed of the car.

A. 50 km/h

B. 55 km/h

C. 48 km/h

D. 52 km/h

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Correct Answer: Option C

Explanation:
Average speed = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.

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Question #69

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The speed of a train is 20% more than the speed of a car. Both start from point A at the same time and reach point B, 120 km away, at the same time. On the way, however, the train lost about 10 minutes while stopping at the stations. What is the speed of the car?

A. 80 km/h

B. 120 km/h

C. 100 km/h

D. 140 km/h

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Correct Answer: Option B

Explanation:
Let car speed be c, then train speed is 1.2c. Time difference = 120/c - 120/(1.2c) = 10/60 hour. 120/c * (1 - 1/1.2) = 1/6 => 120/c * (0.2/1.2) = 1/6 => 120/c * (1/6) = 1/6 => c = 120 km/h.

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Question #70

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A sound wave travels at a speed of 330 m/s. How much time will it take to travel a distance of 9.9 km?

A. 20 seconds

B. 33 seconds

C. 25 seconds

D. 30 seconds

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Correct Answer: Option D

Explanation:
Distance = 9.9 km = 9900 meters. Time = Distance / Speed = 9900 / 330 = 30 seconds.

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Question #71

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A train cross a pole in 12 seconds. If the speed of the train is 72 km/h, what is the length of the train?

A. 240 meters

B. 200 meters

C. 320 meters

D. 280 meters

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Correct Answer: Option A

Explanation:
Speed = 72 * (5/18) = 20 m/s. Length = Speed * Time = 20 * 12 = 240 meters.

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Question #72

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A boy goes to school at a speed of 3 km/h and returns to his village at a speed of 2 km/h. If he takes 5 hours in all, what is the distance between the school and the village?

A. 5 km

B. 8 km

C. 6 km

D. 7 km

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Correct Answer: Option C

Explanation:
Let distance be d. d/3 + d/2 = 5 => 5d/6 = 5 => d = 6 km.

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Question #73

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A dog sees a cat at a distance of 150 meters. The cat starts running at 12 km/h and the dog chases it at 15 km/h. How much distance will the cat cover before being caught?

A. 600 meters

B. 900 meters

C. 750 meters

D. 500 meters

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Correct Answer: Option A

Explanation:
Relative speed = 15 - 12 = 3 km/h = 3 * (5/18) = 5/6 m/s. Time to catch = 150 / (5/6) = 180 seconds. Distance covered by cat = Speed of cat * Time = (12 * 5/18) * 180 = (10/3) * 180 = 600 meters.

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Question #74

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A worker reaches his factory 15 minutes late if he walks at 4 km/h, and 10 minutes early if he walks at 6 km/h. Find the distance to his factory.

A. 8 km

B. 5 km

C. 6 km

D. 4 km

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Correct Answer: Option B

Explanation:
Time difference = 15 - (-10) = 25 minutes = 25/60 = 5/12 hour. Let distance be d. d/4 - d/6 = 5/12 => d/12 = 5/12 => d = 5 km.

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Question #75

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A train 270 meters long is moving at a speed of 120 km/h. In how much time will it cross a man coming from the opposite direction at a speed of 15 km/h?

A. 7.8 seconds

B. 8.4 seconds

C. 7.2 seconds

D. 6.8 seconds

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Correct Answer: Option C

Explanation:
Relative speed = 120 + 15 = 135 km/h = 135 * (5/18) = 37.5 m/s. Time = Distance / Speed = 270 / 37.5 = 7.2 seconds.

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Question #76

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In a 500-meter race, the ratio of speeds of two runners A and B is 3:4. A has a start of 140 meters. Who wins the race and by how many meters?

A. B wins by 20m

B. A wins by 20m

C. A wins by 40m

D. B wins by 40m

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Correct Answer: Option B

Explanation:
Distance for A to run = 500 - 140 = 360 meters. Ratio of speeds A:B = 3:4. Time taken by A to run 360m is proportional to 360 / 3 = 120 units. In the same time, B runs 4 * 120 = 480 meters. B needs 500m to win but only reaches 480m. Thus, A wins, and B is 500 - 480 = 20 meters behind. A wins by 20 meters.

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Question #77

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A person travels a distance of 24 km at a speed of 6 km/h, another 24 km at 8 km/h and a third 24 km at 12 km/h. Find his average speed for the whole journey.

A. 7.5 km/h

B. 8 km/h

C. 9 km/h

D. 8.5 km/h

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Correct Answer: Option B

Explanation:
Total distance = 24 + 24 + 24 = 72 km. Total time = 24/6 + 24/8 + 24/12 = 4 + 3 + 2 = 9 hours. Average speed = 72 / 9 = 8 km/h.

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Question #78

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A motor car finishes a journey in 10 hours. The first half is covered at 42 km/h and the second half at 48 km/h. Find the total distance of the journey.

A. 420 km

B. 448 km

C. 450 km

D. 460 km

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Correct Answer: Option B

Explanation:
Let half distance be d. d/42 + d/48 = 10 => (8d + 7d)/336 = 10 => 15d = 3360 => d = 224 km. Total distance = 2d = 448 km.

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Question #79

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A train 125 meters long passes a man running at 5 km/h in the same direction in 10 seconds. Find the speed of the train.

A. 54 km/h

B. 50 km/h

C. 60 km/h

D. 45 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. Since they are 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 #80

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A man can row 6 km/h in still water. If it takes him twice as long to row upstream as to row downstream of a river, then the speed of the stream is:

A. 2 km/h

B. 3 km/h

C. 1.5 km/h

D. 2.5 km/h

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Correct Answer: Option A

Explanation:
Let speed of stream be s. Downstream speed = 6 + s. Upstream speed = 6 - s. Given: 2 * (6 - s) = 6 + s => 12 - 2s = 6 + s => 3s = 6 => s = 2 km/h.

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