Question

    Two stations P and Q are 486 km apart. A train leaves P at

    6:45 a.m. at 54 km/h. Another train leaves Q at 8:15 a.m. towards P at 81 km/h. When will they meet?
    A 10:45 a.m. Correct Answer Incorrect Answer
    B 11:00 a.m. Correct Answer Incorrect Answer
    C 11:15 a.m. Correct Answer Incorrect Answer
    D 11:30 a.m. Correct Answer Incorrect Answer
    E 11:45 a.m. Correct Answer Incorrect Answer

    Solution

    Time gap = 1.5 hours → Distance = 54 × 1.5 = 81 km
    Remaining = 486 – 81 = 405 km
    Relative speed = 135 km/h
    Time = 405 / 135 = 3 hours
    Meeting time = 8:15 a.m. + 3h = 11:15 a.m.

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