Problems on Trains

JKSSB Sub-Inspector (Executive) · Mathematics · 12 practice questions with answers and explanations: 2 Easy, 6 Medium, 4 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 Medium question 2

Two trains, 100 m and 125 m long, run in the same direction at 72 km/h and 54 km/h. How long does the faster train take to completely overtake the slower one?

  1. 25
  2. 60
  3. 30
  4. 45
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Answer: D. Relative speed = 18 km/h = 5 m/s. Distance = 225 m. Time = 225 ÷ 5 = 45 seconds.

Sample Hard question 3

Two trains of equal length, 120 m each, take 10 seconds and 15 seconds respectively to cross a pole. How long will they take to cross each other if they run in opposite directions?

  1. 12.5
  2. 15
  3. 10
  4. 12
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Answer: D. Speeds = 12 m/s and 8 m/s. Relative speed (opposite) = 20 m/s. Distance = 240 m. Time = 240 ÷ 20 = 12 seconds.

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