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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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