Question
A train takes 5 seconds more to cross a 180-metre-long platform than it takes to cross a pole. If a car running at the speed of 42 m/s takes 80 seconds to completely overtake the train, then find the length of the train.
Solution
ATQ, The extra 5 seconds is taken by train to cross the platform, therefore Speed of the train = 180 ÷ 5 = 36 m/s So, relative speed of the car with respect to the train = 42 - 36 = 6 m/s (Since, both are travelling in same direction) Therefore, length of the train = 6 × 80 = 480 metres
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