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    Question

    The distance between town A and town B is 555 km. A train

    leaves A at 7 a.m. at a speed of 60 km/h. Another train leaves B at 9 a.m. towards A at a speed of 90 km/h. At what time will they meet?
    A 11:36 a.m. Correct Answer Incorrect Answer
    B 11:48 a.m. Correct Answer Incorrect Answer
    C 11:54 a.m. Correct Answer Incorrect Answer
    D 12:00 p.m. Correct Answer Incorrect Answer
    E 12:12 p.m. Correct Answer Incorrect Answer

    Solution

    The train from A starts 2 hours earlier.
    Distance travelled = 60 × 2 = 120 km
    Remaining distance = 555 – 120 = 435 km
    Relative speed = 60 + 90 = 150 km/h
    Time to meet = 435 / 150 = 2.9 hours = 2 hours 54 minutes
    Meeting time = 9:00 a.m. + 2h 54m = 11:54 a.m.

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