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    Question

    The duration needed to travel (x тАУ 36) km upstream

    equals the time taken to go (2x тАУ 72) km downstream. If the boatтАЩs speed is 10.5 km/h and the current flows at 1.5 km/h, calculate the value of x.
    A 25 km Correct Answer Incorrect Answer
    B 36 km Correct Answer Incorrect Answer
    C 55 km Correct Answer Incorrect Answer
    D 35 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    (x тАУ 36)/(10.5 тАУ 1.5) = (2x тАУ 72)/(10.5 + 1.5)

    (x тАУ 36)/9 = (2x тАУ 72)/12

    12x тАУ 432 = 18x тАУ 648

    6x = 216

    x = 36

    So, the value of тАШxтАЩ is 36 km.

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