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    Question

    The ratio of the speed of a train to a bus is 7:5 and

    the bus covers 24 km less than the train in the same time duration. If the time taken by the train to cover that distance is 6 hours, then find the speed of the bus.
    A 13 km/hr Correct Answer Incorrect Answer
    B 10 km/hr Correct Answer Incorrect Answer
    C 18 km/hr Correct Answer Incorrect Answer
    D 16 km/hr Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Distance = speed * time Time = distance/speed Let the distance travelled by the train = d km So, d / (7x) = (d − 24) / (5x) 5d = 7d − 168 2d = 168 d = 84 km Now, 84 / (7x) = 6 84 = 42x x = 2 The speed of the bus = 5 * 2 = 10 km/hr

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