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    Question

    The ratio of the boat's speed in still water to the speed

    of the stream is given as 12:1. The boat takes a total time in the ratio 13:9 to travel (d + 48) km upstream and (d - 56) km downstream. Determine the value of d.
    A 250 Correct Answer Incorrect Answer
    B 480 Correct Answer Incorrect Answer
    C 350 Correct Answer Incorrect Answer
    D 524 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;

    Let speed of boat in still water and speed of stream is ‘12a’ km/h and ‘a’ km/h respectively.

    Upstream speed = 12a – a = 11a km/h

    Downstream speed = 12a + a = 13a km/h

    So, [(x + 48)/11a]/[(x – 56)/13a] = 13/9

    Or, 9x + 432 = 11x – 616

    Or, 2x = 1048

    Or, x = 524

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