A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is ?
Explanation:
Let length of train = L
In first case, train covers 162 + L m in 18 seconds and in second case train covers 120 + L m in 15 seconds.
Speeds are (162 + L)/18 and (120 + L)/15 respectively.
But they are equal.
=> (162 + L)15 = (120 + L)18
=> 2430 - 2160 = 3L
=> L = 270/3 = 90 m
Hence, option 3 is the correct answer.
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By: Amit Kumar