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    Question

    A train takes 7 seconds more to cross a 210-metre-long

    platform than it takes to cross a pole. If a car running at the speed of 38 m/s takes 70 seconds to completely overtake the train, then find the length of the train.
    A 660 m Correct Answer Incorrect Answer
    B 560 m Correct Answer Incorrect Answer
    C 825 m Correct Answer Incorrect Answer
    D 720 m Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, The extra 7 seconds is taken by train to cross the platform, therefore Speed of the train = 210 ÷ 7 = 30 m/s So, relative speed of the car with respect to the train = 38 - 30 = 8 m/s (Since, both are travelling in same direction) Therefore, length of the train = 8 × 70 = 560 metres

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