Time Speed and Distance MCQs with Answers and Solutions

Question #361

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A train passes a standing man in 10 seconds and a platform 300 meters long in 25 seconds. Find the length of the train.

A. 150 meters

B. 200 meters

C. 300 meters

D. 250 meters

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Correct Answer: Option A

Explanation:
The train takes 25 - 10 = 15 seconds to cover the length of the platform. Speed of the train = 300 / 15 = 20 m/s. Length of the train = Speed * Time to cross the man = 20 * 10 = 150 meters.

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Question #362

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A car covers a distance from town X to town Y at a speed of 45 km/h and returns at a speed of 75 km/h. If the total journey takes 8 hours, find the one-way distance between the two towns.

A. 210 km

B. 240 km

C. 250 km

D. 225 km

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Correct Answer: Option D

Explanation:
Let the one-way distance be d km. Time taken forward = d/45 and return = d/75. Given: d/45 + d/75 = 8. (5d + 3d) / 225 = 8 => 8d / 225 = 8 => d = 225 km.

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Question #363

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The speed of a boat in still water is 14 km/h and the speed of the current is 4 km/h. How much time will the boat take to cover a distance of 72 km downstream?

A. 4 hours

B. 3 hours

C. 6 hours

D. 5 hours

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Correct Answer: Option A

Explanation:
Downstream speed = Speed in still water + Speed of current = 14 + 4 = 18 km/h. Time taken = Distance / Downstream speed = 72 / 18 = 4 hours.

This question belongs to: Maths Time Speed and Distance

Question #364

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A man covers 3/5 of his journey at 60 km/h, 1/4 of his journey at 40 km/h and the remaining journey at 20 km/h. Find his average speed for the whole transaction.

A. 48.00 km/h

B. 42.5 km/h

C. 44.44 km/h

D. 46.15 km/h

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Correct Answer: Option D

Explanation:
Let total distance be 400 km. First part = 240 km; Time = 240/60 = 4 hours. Second part = 100 km; Time = 100/40 = 2.5 hours. Remaining distance = 400 - 240 - 100 = 60 km; Time = 60/20 = 3 hours. Total time = 4 + 2.5 + 3 = 9.5 hours. Average speed = 400 / 9.5 = 4000 / 95 = 46.15 km/h.

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Question #365

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Two stations A and B are 450 km apart. A train leaves station A at 4:00 PM at 60 km/h. Another train leaves station B at 5:00 PM at 70 km/h traveling towards A. At what time will they meet?

A. 8:30 PM

B. 9:00 PM

C. 7:30 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. Distance left between them = 450 - 60 = 390 km. Relative speed = 60 + 70 = 130 km/h. Time to meet after 5:00 PM = 390 / 130 = 3 hours. Meeting time = 5:00 PM + 3 hours = 8:00 PM.

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Question #366

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A person has to cover a distance of 160 km. He covers the first half of the distance at 40 km/h. At what speed must he travel the remaining half to make the average speed for the whole journey 50 km/h?

A. 70 km/h

B. 60 km/h

C. 75 km/h

D. 66.67 km/h

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Correct Answer: Option D

Explanation:
Let the required speed for the second half be x km/h. Using the average speed formula for equal halves: Average Speed = 2v1*v2 / (v1 + v2) => 50 = (2 * 40 * x) / (40 + x) => 50(40 + x) = 80x => 2000 + 50x = 80x => 30x = 2000 => x = 66.67 km/h.

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Question #367

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A train 240 meters long crosses a platform 360 meters long in 30 seconds. What is the speed of the train in km/h?

A. 72 km/h

B. 64 km/h

C. 60 km/h

D. 80 km/h

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Correct Answer: Option A

Explanation:
Total distance to cross = 240 + 360 = 600 meters. Speed = 600 / 30 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance

Question #368

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A thief is noticed by a policeman from a distance of 300 meters. The thief runs at 12 km/h and the policeman chases him at 15 km/h. What is the distance run by the thief before he is caught?

A. 1200 meters

B. 1000 meters

C. 1500 meters

D. 1400 meters

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Correct Answer: Option A

Explanation:
Relative speed = 15 - 12 = 3 km/h. Time taken to catch = Initial distance / Relative speed = 0.3 km / 3 km/h = 0.1 hours. Distance covered by thief = Speed of thief * Time = 12 km/h * 0.1 hours = 1.2 km = 1200 meters.

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Question #369

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The outer wheel of a cart makes 500 revolutions in moving a distance of 1.1 km. Find the diameter of the wheel.

A. 105 cm

B. 70 cm

C. 50 cm

D. 35 cm

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Correct Answer: Option B

Explanation:
Distance in 1 revolution = Total distance / Number of revolutions = 1100 meters / 500 = 2.2 meters. Circumference = 2 * (22/7) * r = 2.2 meters => Diameter (2r) * (22/7) = 2.2 => Diameter = 2.2 * 7 / 22 = 0.7 meters = 70 cm.

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Question #370

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A high-speed train covers a distance between two terminals at 300 km/h in 4 hours. At what speed must it travel to cover the same distance in 3 hours and 20 minutes?

A. 400 km/h

B. 350 km/h

C. 360 km/h

D. 375 km/h

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Correct Answer: Option C

Explanation:
Distance = Speed * Time = 300 * 4 = 1200 km. New time = 3 hours 20 minutes = 10/3 hours. New required speed = Distance / New time = 1200 / (10/3) = 1200 * 3 / 10 = 360 km/h.

This question belongs to: Maths Time Speed and Distance

Question #371

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Excluding stoppages, a transit bus maintains an average speed of 75 km/h, and including stoppages its speed is 60 km/h. Find the stoppage time per hour.

A. 18 minutes

B. 15 minutes

C. 10 minutes

D. 12 minutes

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Correct Answer: Option B

Explanation:
Stoppage time per hour = (Fast speed - Slow speed) / Fast speed = (75 - 60) / 75 = 15 / 75 = 1/5 hour. Converting to minutes = (1/5) * 60 = 15 minutes.

This question belongs to: Maths Time Speed and Distance

Question #372

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A cyclist rides from his village to town at 16 km/h and returns at 12 km/h. If the entire journey takes 7 hours, what is the distance from the village to the town?

A. 42 km

B. 45 km

C. 48 km

D. 54 km

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Correct Answer: Option C

Explanation:
Let distance be d. d/16 + d/12 = 7 => (3d + 4d) / 48 = 7 => 7d / 48 = 7 => d = 48 km.

This question belongs to: Maths Time Speed and Distance

Question #373

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A crew can row 40 km downstream in 4 hours and 20 km upstream in 5 hours. Find the speed of the stream.

A. 5 km/h

B. 4 km/h

C. 2 km/h

D. 3 km/h

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Correct Answer: Option D

Explanation:
Downstream speed = 40 / 4 = 10 km/h. Upstream speed = 20 / 5 = 4 km/h. Speed of the stream = (Downstream speed - Upstream speed) / 2 = (10 - 4) / 2 = 6 / 2 = 3 km/h.

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Question #374

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A train 150 meters long is traveling at a speed of 45 km/h. How much time will it take to clear a platform 300 meters long?

A. 45 seconds

B. 40 seconds

C. 32 seconds

D. 36 seconds

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Correct Answer: Option D

Explanation:
Total distance = 150 + 300 = 450 meters. Speed = 45 * (5/18) = 12.5 m/s. Time taken = 450 / 12.5 = 36 seconds.

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Question #375

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A jogger covers a distance of 18 km in 2 hours. If he runs at 1.5 times his original speed, how much time will he take to cover a distance of 27 km?

A. 1.5 hours

B. 2.5 hours

C. 2 hours

D. 3 hours

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Correct Answer: Option C

Explanation:
Original speed = 18 / 2 = 9 km/h. New speed = 1.5 * 9 = 13.5 km/h. Time needed for 27 km = 27 / 13.5 = 2 hours.

This question belongs to: Maths Time Speed and Distance

Question #376

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A sports car moving at 90 km/h covers a specific track lap. How many meters does the car travel in exactly one second?

A. 30 meters

B. 20 meters

C. 25 meters

D. 22.5 meters

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Correct Answer: Option C

Explanation:
Speed = 90 km/h = 90 * (5/18) m/s = 5 * 5 = 25 m/s. Thus, it covers 25 meters in one second.

This question belongs to: Maths Time Speed and Distance

Question #377

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A dispatch rider travels between two depots at a speed of 50 km/h and arrives on schedule. If he travels at 40 km/h, he is late by 45 minutes. Find the distance between the two depots.

A. 150 km

B. 120 km

C. 160 km

D. 180 km

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Correct Answer: Option A

Explanation:
Time difference = 45 minutes = 45/60 = 3/4 hours. Let distance be d. d/40 - d/50 = 3/4 => (5d - 4d) / 200 = 3/4 => d / 200 = 3/4 => d = 150 km.

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Question #378

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Two sprinters race on a 200-meter straight track. The ratio of their speeds is 4 : 5. When the winner crosses the finish line, how far away from the tape is the slower sprinter?

A. 50 meters

B. 40 meters

C. 30 meters

D. 60 meters

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Correct Answer: Option B

Explanation:
The faster sprinter covers 5 parts = 200 meters, so 1 part = 40 meters. In that same timeframe, the slower sprinter covers 4 parts = 4 * 40 = 160 meters. Distance remaining for the slower sprinter = 200 - 160 = 40 meters.

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Question #379

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A train 180 meters long running at 72 km/h crosses a modern platform in 20 seconds. Find the length of the platform.

A. 240 meters

B. 200 meters

C. 250 meters

D. 220 meters

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Correct Answer: Option D

Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Total distance covered in 20 seconds = 20 * 20 = 400 meters. Length of platform = Total distance - Length of train = 400 - 180 = 220 meters.

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Question #380

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A man rows downstream 48 km in 4 hours and upstream 24 km in 4 hours. Find the speed of the boat in still water.

A. 10 km/h

B. 8 km/h

C. 12 km/h

D. 9 km/h

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Correct Answer: Option D

Explanation:
Downstream speed = 48 / 4 = 12 km/h. Upstream speed = 24 / 4 = 6 km/h. Speed in still water = (Downstream speed + Upstream speed) / 2 = (12 + 6) / 2 = 9 km/h.

This question belongs to: Maths Time Speed and Distance

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