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      Question

      A train can cross a pole, a bridge of 800 meter long and

      platform of 750 meter long in 13 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

      Solution

      Let the length of the train = x meter So according to question: x/13 = (x + 750)/28 28x = 13x + 9750 15x = 9750 x = 650 So the length of the train = 650 m Speed of the train = 650/13 = 50 m/s Time taken by the train to cross a bridge 800 meter long = (650 + 800)/50 = 1450/50 = 29 seconds

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