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Question

A train can cross a pole, a bridge of 525 meter long and platform of 375 meter long in 12 seconds, _____ seconds and 27 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 + 375)/27 27x = 12x + 4500 15x = 4500 x = 300 So the length of the train = 300 m Speed of the train = 300/12 = 25 m/s Time taken by the train to cross a bridge 525 meter long = (300 + 525)/25 = 825/25 = 33 seconds

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