Time Speed and Distance MCQs with Answers and Solutions

Question #101

A stream flows at 3 km/h. A boat can row 9 km/h in still water. How much time does it take to go 24 km downstream and return upstream to the starting point?

A. 8 hours

B. 7 hours

C. 5 hours

D. 6 hours

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Correct Answer: Option D

Explanation:
Downstream speed = 9 + 3 = 12 km/h. Upstream speed = 9 - 3 = 6 km/h. Time taken = 24/12 + 24/6 = 2 + 4 = 6 hours.

This question belongs to: Maths Time Speed and Distance

Question #102

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A train crosses a bridge of length 150 meters in 15 seconds and a pole in 9 seconds. What is the length of the train?

A. 200 meters

B. 300 meters

C. 250 meters

D. 225 meters

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Correct Answer: Option D

Explanation:
Let train length be L. Speed = L / 9. Also, Speed = (L + 150) / 15. So, L / 9 = (L + 150) / 15 => 15L = 9L + 1350 => 6L = 1350 => L = 225 meters.

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Question #103

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The speed of two cars are in the ratio 3 : 4. If the second car takes 3 hours to cover a certain distance, how much time will the first car take to cover the same distance?

A. 5 hours

B. 3.5 hours

C. 4 hours

D. 4.5 hours

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Correct Answer: Option C

Explanation:
Ratio of speeds = 3:4. Ratio of time taken (inverse of speed) = 4:3. Given 3 parts = 3 hours for the second car. Thus, 4 parts = 4 hours for the first car.

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Question #104

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A theft is reported at 4:00 AM. The thief runs at 50 km/h. The police begin chasing at 4:30 AM at 60 km/h. Find the distance from the starting point where the thief is caught.

A. 180 km

B. 120 km

C. 150 km

D. 200 km

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Correct Answer: Option C

Explanation:
In 30 minutes (0.5 hours), the thief covers 50 * 0.5 = 25 km. Relative speed = 60 - 50 = 10 km/h. Time taken to catch = 25 / 10 = 2.5 hours. Distance covered by police = 60 km/h * 2.5 hours = 150 km.

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Question #105

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A train 140 meters long passes a platform 160 meters long in 15 seconds. Find the speed of the train in km/h.

A. 60 km/h

B. 80 km/h

C. 90 km/h

D. 72 km/h

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Correct Answer: Option D

Explanation:
Total distance = 140 + 160 = 300 meters. Speed = 300 / 15 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

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Question #106

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A person travels from city A to city B at 50 km/h and returns at 70 km/h. What is his average speed for the round trip?

A. 62.5 km/h

B. 61.25 km/h

C. 58.33 km/h

D. 60 km/h

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Correct Answer: Option C

Explanation:
Average speed = (2 * 50 * 70) / (50 + 70) = 7000 / 120 = 700 / 12 = 58.33 km/h.

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Question #107

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A passenger notice that a train passes him in 4 seconds. If the train is 120 meters long, what is its speed in km/h?

A. 90 km/h

B. 120 km/h

C. 108 km/h

D. 100 km/h

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Correct Answer: Option C

Explanation:
Speed = 120 / 4 = 30 m/s. In km/h = 30 * (18/5) = 108 km/h.

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Question #108

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A man walks a certain distance at a speed of 4 km/h and runs back at 16 km/h. Find his average speed.

A. 10 km/h

B. 9.6 km/h

C. 8 km/h

D. 6.4 km/h

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Correct Answer: Option D

Explanation:
Average Speed = (2 * 4 * 16) / (4 + 16) = 128 / 20 = 6.4 km/h.

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Question #109

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A train 160 meters long passes a standing man in 8 seconds. What is the speed of the train?

A. 54 km/h

B. 72 km/h

C. 60 km/h

D. 80 km/h

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Correct Answer: Option B

Explanation:
Speed = 160 / 8 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

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Question #110

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A boatman can row 4.5 km/h in still water. If the river flows at 1.5 km/h, it takes him 2 hours to row to a place and come back. How far is the place?

A. 4 km

B. 3 km

C. 4.5 km

D. 6 km

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Correct Answer: Option A

Explanation:
Downstream speed = 4.5 + 1.5 = 6 km/h. Upstream speed = 4.5 - 1.5 = 3 km/h. Let distance be d. d/6 + d/3 = 2 => 3d/6 = 2 => d/2 = 2 => d = 4 km.

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Question #111

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Two trains 100 meters and 120 meters long are running in the same direction at speeds of 72 km/h and 54 km/h respectively. In how much time will the faster train cross the slower train completely?

A. 36 seconds

B. 40 seconds

C. 44 seconds

D. 48 seconds

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Correct Answer: Option C

Explanation:
Total distance = 100 + 120 = 220 meters. Relative speed = 72 - 54 = 18 km/h = 5 m/s. Time taken = 220 / 5 = 44 seconds.

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Question #112

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A student walking at 3 km/h reaches his school 15 minutes late. If he walks at 4 km/h, he reaches 15 minutes early. Find the distance.

A. 5 km

B. 8 km

C. 4 km

D. 6 km

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Correct Answer: Option D

Explanation:
Time difference = 15 - (-15) = 30 minutes = 0.5 hours. Let distance be d. d/3 - d/4 = 0.5 => d/12 = 0.5 => d = 6 km.

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Question #113

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If a person covers a distance of 150 km in 3 hours, what is his speed in meters per second?

A. 12.5 m/s

B. 15 m/s

C. 16.66 m/s

D. 13.88 m/s

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Correct Answer: Option D

Explanation:
Speed = 150 / 3 = 50 km/h. In m/s = 50 * (5/18) = 250 / 18 = 13.88 m/s.

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Question #114

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A train 200 meters long covers a telegraph post in 10 seconds. Find the time it takes to cover a bridge of 300 meters.

A. 15 seconds

B. 25 seconds

C. 30 seconds

D. 20 seconds

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Correct Answer: Option B

Explanation:
Speed of train = 200 / 10 = 20 m/s. Total distance to cross bridge = 200 + 300 = 500 meters. Time = 500 / 20 = 25 seconds.

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Question #115

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A man can row 9 km/h in still water. He rows to a place 24 km away and back in a total of 6 hours. Find the speed of the river current.

A. 3 km/h

B. 2 km/h

C. 4 km/h

D. 5 km/h

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Correct Answer: Option A

Explanation:
Let speed of current be c. 24 / (9 + c) + 24 / (9 - c) = 6. Dividing by 6: 4 / (9 + c) + 4 / (9 - c) = 1 => 4(9 - c + 9 + c) = 81 - c^2 => 72 = 81 - c^2 => c^2 = 9 => c = 3 km/h.

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Question #116

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A car covers a distance of 180 km in 3 hours. What should be the increase in its speed to cover the same distance in 2 hours?

A. 25 km/h

B. 30 km/h

C. 20 km/h

D. 35 km/h

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Correct Answer: Option B

Explanation:
Original speed = 180 / 3 = 60 km/h. Required speed = 180 / 2 = 90 km/h. Increase = 90 - 60 = 30 km/h.

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Question #117

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Two cyclists start from the same place in opposite directions. One goes towards North at 18 km/h and the other goes South at 22 km/h. What is the distance between them after 30 minutes?

A. 20 km

B. 25 km

C. 15 km

D. 30 km

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Correct Answer: Option A

Explanation:
Relative speed in opposite directions = 18 + 22 = 40 km/h. Time = 30 minutes = 0.5 hours. Distance = 40 * 0.5 = 20 km.

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Question #118

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A person covers 20 km at 5 km/h and another 40 km at 10 km/h. Find his average speed for the entire journey.

A. 6.66 km/h

B. 8 km/h

C. 7.5 km/h

D. 8.5 km/h

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Correct Answer: Option C

Explanation:
Total distance = 20 + 40 = 60 km. Total time = 20/5 + 40/10 = 4 + 4 = 8 hours. Average speed = 60 / 8 = 7.5 km/h.

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Question #119

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A train passes a pole in 15 seconds and a platform 100 meters long in 25 seconds. Find 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:
Let length of train be L. Speed = L / 15. Also, Speed = (L + 100) / 25. L / 15 = (L + 100) / 25 => 25L = 15L + 1500 => 10L = 1500 => L = 150 meters.

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Question #120

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A boat moves upstream at a speed of 11 km/h and downstream at 16 km/h. Find the speed of the boat in still water.

A. 14.5 km/h

B. 14 km/h

C. 12.5 km/h

D. 13.5 km/h

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Correct Answer: Option D

Explanation:
Speed in still water = (Downstream speed + Upstream speed) / 2 = (16 + 11) / 2 = 27 / 2 = 13.5 km/h.

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