Question
A train takes 10 seconds more to cross a 250-metre-long
platform than it takes to cross a pole. If a car running at the speed of 40 m/s takes 55 seconds to completely overtake the train, then find the length of the train.Solution
ATQ, The extra 10 seconds is taken by train to cross the platform, therefore Speed of the train = 250 ÷ 10 = 25 m/s So, relative speed of the car with respect to the train = 40 - 25 = 15 m/s (Since, both are travelling in same direction) Therefore, length of the train = 15 × 55 = 825 metres
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