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    Question

    A train with a length of (p + 60) meters takes 30

    seconds to cross a platform that is (q + 60) meters long while traveling at a speed of 20 meters per second. If the same train takes 12 seconds to pass a tree, determine the value of 'q'.
    A 250 m Correct Answer Incorrect Answer
    B 300 m Correct Answer Incorrect Answer
    C 625 m Correct Answer Incorrect Answer
    D 420 m Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, [(p + 60) + (q + 60)]/ 20 = 30 p + q + 120 = 600 p + q = 600 – 120 p + q = 480 -----(i) Also, (p + 60)/20 = 12 (p + 60) = 12 × 20 p = 240 – 60 p = 180 m So, q = 480 – 180 = 300 m

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