Problems on Trains

Ladakh Police Constable · Mathematics · 20 practice questions with answers and explanations: 2 Easy, 18 Medium, 0 Hard.

Sample questions

Sample Easy question 1

A train 200 m long runs at 20 m/s. How long does it take to pass a pole?

  1. 40
  2. 10
  3. 5
  4. 20
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Answer: B. Time = length ÷ speed = 200 ÷ 20 = 10 seconds.

Sample Easy question 2

A 150 m long train running at 54 km/h passes a signal post. How many seconds does it take?

  1. 10
  2. 5
  3. 15
  4. 8
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Answer: A. 54 km/h = 15 m/s. Time = 150 ÷ 15 = 10 seconds.

Sample Medium question 3

A train 150 m long is running at 90 km/h. How much time will it take to cross a platform 400 m long?

  1. 22 seconds
  2. 6 seconds
  3. 21 seconds
  4. 24 seconds
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Answer: A. Distance = 150 + 400 = 550 m. Speed = 90 × 5/18 = 25 m/s. Time = 550 ÷ 25 = 22 seconds.

Sample Medium question 4

A train 150 m long is running at 90 km/h. How much time will it take to cross a platform 300 m long?

  1. 6 seconds
  2. 17 seconds
  3. 18 seconds
  4. 20 seconds
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Answer: C. Distance = 150 + 300 = 450 m. Speed = 90 × 5/18 = 25 m/s. Time = 450 ÷ 25 = 18 seconds.

Sample Medium question 5

A train 120 m long is running at 54 km/h. How much time will it take to cross a platform 300 m long?

  1. 30 seconds
  2. 27 seconds
  3. 28 seconds
  4. 8 seconds
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Answer: C. Distance = 120 + 300 = 420 m. Speed = 54 × 5/18 = 15 m/s. Time = 420 ÷ 15 = 28 seconds.

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