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    Question

    A and B are two stations 645 km apart. A train starts

    from A at 8 a.m. and travels towards B at 60 km/h. Another train starts from B at 10a.m. and travels towards A at 45 km/h. At what time do they meet?
    A 2 p.m. Correct Answer Incorrect Answer
    B 5 p.m. Correct Answer Incorrect Answer
    C 12 noon Correct Answer Incorrect Answer
    D 3 p.m. Correct Answer Incorrect Answer

    Solution

    Distance between station A and B is = 645 km Speed of first train = 60 km/hr Speed of second train = 45 km/hr Relative speed both train if they running opposite direction = (60 + 45) = 105 km/hr Distance covered by first train in 1 hr = 60 km Remaining distance = 645 - 60 = 585 km Time = Distance/speed Time = 585/105 = 5.5 hr or 5hr ∴ Required time = 10 am + 5hr = 3pm

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