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    Question

    Aruna is sitting inside train P which is travelling at a

    speed of 60 km/h. Another train Q, whose length is twice the length of train P and travelling with a speed of 70 km/h (in opposite direction to that of train P) crosses Aruna in 12 seconds. Find the approximate length of train P (in metres).
    A 216 Correct Answer Incorrect Answer
    B 255 Correct Answer Incorrect Answer
    C 185 Correct Answer Incorrect Answer
    D 320 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Relative speed = 60 + 70 = 130 km/h = 130 × 5/18 = 36.11 m/s

    Let the length of train P be ‘x’ meters

    So, 2x = 36.11 × 12

    Or, 2x = 433.32

    Or, x = 216.66 ≈ 216 metres

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