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    Question

    The ratio of the speed of boat тАШAтАЩ in still water,

    the speed of boat тАШBтАЩ in still water and the speed of the current is 11:5:2, respectively. If the time taken by boat тАШAтАЩ to travel (9D тАУ 26) km downstream is equal to the time taken by boat тАШBтАЩ to travel (D + 50) km upstream, then find the value of тАШDтАЩ.
    A 51 Correct Answer Incorrect Answer
    B 50 Correct Answer Incorrect Answer
    C 52 Correct Answer Incorrect Answer
    D 55 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let, the speeds of boat тАШAтАЩ and boat тАШBтАЩ, in still water and the speed of the current be 11x km/hr, 5x km/hr and 2x km/hr, respectively. According to the question, (9D тАУ 26)/(11x + 2x) = (D + 50)/(5x тАУ 2x) Or, 27D тАУ 78 = 13D + 650 Or, 14D = 728 Or, D = 52

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