A train running at 90 km/h overtakes a cyclist riding at 18 km/h in the same direction in 10 seconds. Find the length of the train. MCQ with Answer and Explanation

Question

A train running at 90 km/h overtakes a cyclist riding at 18 km/h in the same direction in 10 seconds. Find the length of the train.

A. 180 meters

B. 240 meters

C. 220 meters

D. 200 meters

Answer: Option D

Solution (By JKSSB Mock Tests)

Relative speed = 90 - 18 = 72 km/h = 72 * (5/18) = 20 m/s. Length of train = Relative speed * Time = 20 * 10 = 200 meters.

This question belongs to: Maths Time Speed and Distance

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Question #1

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A person covers a distance of 12 km in 1 hour 30 minutes. What is his speed in meters per second?

A. 2.22 m/s

B. 2.50 m/s

C. 2.00 m/s

D. 2.77 m/s

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Correct Answer: Option A

Explanation:
Time = 1.5 hours. Speed = 12 / 1.5 = 8 km/h. To convert into m/s, multiply by 5/18. Speed = 8 * (5/18) = 40 / 18 = 2.22 m/s.

This question belongs to: Maths Time Speed and Distance

Question #2

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A distance of 600 km is covered by a passenger train in 12 hours. If the speed of an express train is 20 km/h more than that of the passenger train, how much less time will the express train take to cover the same distance?

A. 3 hours

B. 2 hours

C. 4 hours

D. 3.4 hours

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Correct Answer: Option D

Explanation:
Speed of passenger train = 600 / 12 = 50 km/h. Speed of express train = 50 + 20 = 70 km/h. Time taken by express train = 600 / 70 = 8.57 hours (approx 8 hours 34 minutes). Time saved = 12 - 8.57 = 3.43 hours.

This question belongs to: Maths Time Speed and Distance