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    Question

    A train passes a stationary pole in 12 seconds. It

    takes 15 seconds for the same train to completely overtake a man who is running at a speed of 14.4 km/h. Based on this, determine the length of the train.
    A 240 metres Correct Answer Incorrect Answer
    B 200 metres Correct Answer Incorrect Answer
    C 300 metres Correct Answer Incorrect Answer
    D 320 metres Correct Answer Incorrect Answer

    Solution

    Let the length of the train be 'L' metres and speed of the train be 's' m/s. Speed of the man = 14.4 X (5/18) = 4 m/s ATQ; (L/s) = 12 Or, L = 12s ....... (I) Also, {L/(s - 4)} = 15 Or, 12s = 15 X (s - 4) {Using equation (I)} Or, 12s = 15s - 60 Or, 60 = 3s So, s = 20 So, length of the train = 20 X 12 = 240 metres.

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