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    Question

    The speed of a boat in still water is 20 km/h, and the

    speed of the river flow is 4 km/hr. If the total time taken for the boat to go from point 'X' to point 'Y' and return is 12 hours, find the distance between point 'X' and point 'Y'.
    A 100.2 km Correct Answer Incorrect Answer
    B 95.2 km Correct Answer Incorrect Answer
    C 215.2 km Correct Answer Incorrect Answer
    D 115.2 km Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Upstream speed = 20 - 4 = 16 km/h  Downstream speed = 20 + 4 = 24 km/h  Let the distance between points 'X' and 'Y' be 'd' km.  Time equation: {(d/24)+(d/16)} = 12 Solving for 'd': 2d+3d=12×48  5d = 576  d=115.2 km Distance = 'd' = 115.2 km

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