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      Question

      A train takes 18 seconds to cross a pole and 12 seconds

      to cross a man who is running in the opposite direction with respect to the train at a speed of 5 m/s. Find the length of the train.
      A 150 metres Correct Answer Incorrect Answer
      B 210 metres Correct Answer Incorrect Answer
      C 180 metres Correct Answer Incorrect Answer
      D 240 metres Correct Answer Incorrect Answer

      Solution

      Let the speed of the train be 'x' m/s.

      So, length of the train = 18 X x = '18x' metres

      ATQ;

      {18x/(x + 5)} = 12

      Or, 18x = 12 X (x + 5)

      Or, 3x = 2 X (x + 5) {Dividing both sides by 6}

      Or, 3x = 2x + 10

      So, x = 10

      So, length of the train = 10 X 18 = 180 metres

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