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    A boatman covers a distance of 24 km against water current and 36 km along the water current and takes 6 hours each time. Find the speed of water curr
    Question

    A boatman covers a distance of 24 km against water current and 36 km along the water current and takes 6 hours each time. Find the speed of water current.

    A.

    2 km/h

    B.

    4 km/h

    C.

    1 km/h

    D.

    3 km/h

    Correct option is C

    Given:

    Distance against the current = 24 km

    Distance along the current = 36 km
    Time taken = 6 hours each
    Formula Used:
    Let the speed of boat and current be x km/hr and y km/hr.
    Upstream speed = (x – y) km/hr
    Downstream speed = (x + y) km/hr

    Solution:

    As we know,

    Speed = distance/time

    => (x – y) = 24/6

    => x – y = 4      --- (1)

    => (x + y) = 36/6

    => x + y = 6      --- (2)

    Subtract equation (1) from equation (2)

    => 2y = 2

    => y = 1

    ∴ Speed of current is 1 km/hr.

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