A cargo train 120 meters long crosses a warehouse tunnel in 24 seconds. If the train speed is 60 km/h, find the absolute length of the tunnel. MCQ with Answer and Explanation

Question

A cargo train 120 meters long crosses a warehouse tunnel in 24 seconds. If the train speed is 60 km/h, find the absolute length of the tunnel.

A. 250 meters

B. 280 meters

C. 300 meters

D. 320 meters

Answer: Option B

Solution (By JKExamLibrary)

Speed of train = 60 * (5/18) = 50/3 m/s. Total distance handled in 24 seconds = (50/3) * 24 = 400 meters. Length of tunnel = 400 - 120 = 280 meters.

This question belongs to: Maths Time Speed and Distance

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Question #1

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A runner tracks a circular field of circumference 600 meters. If his speed is 14.4 km/h, how many rounds can he complete in 15 minutes?

A. 6 rounds

B. 5 rounds

C. 7 rounds

D. 8 rounds

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Correct Answer: Option A

Explanation:
Speed = 14.4 km/h = 14.4 * (5/18) = 4 m/s. Time = 15 minutes = 900 seconds. Total distance wrapped = 4 * 900 = 3600 meters. Number of rounds completed = 3600 / 600 = 6 rounds.

This question belongs to: Maths Time Speed and Distance

Question #2

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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. 61.25 km/h

B. 62.5 km/h

C. 60 km/h

D. 58.33 km/h

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Correct Answer: Option D

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

This question belongs to: Maths Time Speed and Distance

Question #3

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A train 100 meters long running at 90 km/h crosses another train 150 meters long running at 54 km/h in the same direction. How much time do they take to cross each other?

A. 25 seconds

B. 30 seconds

C. 35 seconds

D. 20 seconds

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Correct Answer: Option A

Explanation:
Total distance = 100 + 150 = 250 meters. Relative speed in same direction = 90 - 54 = 36 km/h = 36 * (5/18) = 10 m/s. Time taken = 250 / 10 = 25 seconds.

This question belongs to: Maths Time Speed and Distance

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