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      Question

      A train with 12 compartments of equal length takes 30

      seconds to cross a pole and 40 seconds to cross a 240-metre-long platform. If 6 compartments of the train are removed, then how long would it take to cross a pole?
      A 12 seconds Correct Answer Incorrect Answer
      B 18 seconds Correct Answer Incorrect Answer
      C 24 seconds Correct Answer Incorrect Answer
      D 15 seconds Correct Answer Incorrect Answer
      E 20 seconds Correct Answer Incorrect Answer

      Solution

      Let the original length of the train = ‘d’ metres
      Then, distance covered by the train in 30 seconds = ‘d’ metres
      Distance covered by the train in 40 seconds = (d + 240) metres
      So, distance covered in (40 – 30) = 10 seconds = (d + 240 – d) = 240 metres
      So, speed of the train = 240 ÷ 10 = 24 m/s
      So, original length of the train = 24 × 30 = 720 metres
      After removing 6 compartments, length of the train = 720 × (6/12) = 360 metres
      So, required time taken = 360 ÷ 24 = 15 seconds

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