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    Question

    A bus leaves town 'X' at 9:30 AM heading towards 'Y' at a

    speed of 50 km/h. A van starts from the same place at 11:00 AM towards 'Y' at 70 km/h. At what time will the van catch up with the bus?
    A 2:45 PM Correct Answer Incorrect Answer
    B 5:00 AM Correct Answer Incorrect Answer
    C 7:20 PM Correct Answer Incorrect Answer
    D 6:00 AM Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Distance between bus and van when van starts = 50 × 1.5 = 75 km

    Relative speed = 70 − 50 = 20 km/h

    Time taken by van to catch up = 75 / 20 = 3.75 hours = 3 hours and 45 minutes

    Required time = 11:00 AM + 3 hours 45 minutes = 2:45 PM

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