Question

A train can cross a pole, a bridge of 510 meter long and platform of 450 meter long in 11 seconds, _____ seconds and 26 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/11 = (x + 450)/26 26x = 11x + 4950 15x = 4950 x = 330 So the length of the train = 330 m Speed of the train = 330/11 = 30 m/s Time taken by the train to cross a bridge 510 meter long = (330 + 510)/30 = 840/30 = 28 seconds

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