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    Question

    A boat takes the same amount of time to travel (x – 24)

    km upstream as it takes to cover (2x – 84) km downstream. If the speed of the boat is 12 km/h and the speed of the current is 2 km/h, what is the value of x?
    A 25 km Correct Answer Incorrect Answer
    B 84 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 – 24)/(12 – 2) = (2x – 84)/(12 + 2)

    (x – 24)/10 = (2x – 84)/14

    14x – 336 = 20x – 840

    6x = 504

    x = 84

    So, the value of ‘x’ is 84 km.

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