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      Question

      A train can cross a pole, a bridge of 340 meter long and

      platform of 320 meter long in 12 seconds, _____ seconds and 28 seconds, respectively. The value given in which of the following option will fill the blank to make the above statement true:
      A 33 seconds Correct Answer Incorrect Answer
      B 28 seconds Correct Answer Incorrect Answer
      C 29 seconds Correct Answer Incorrect Answer
      D 30 seconds Correct Answer Incorrect Answer
      E 27 seconds Correct Answer Incorrect Answer

      Solution

      Let the length of the train = x meter So according to question: x/12 = (x + 320)/28 28x = 12x + 3840 16x = 3840 x = 240 So the length of the train = 240 m Speed of the train = 240/12 = 20 m/s Time taken by the train to cross a bridge 340 meter long = (240 + 340)/20 = 580/20 = 29 seconds

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