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    The upstream speed of a boat is 12 km/hr more than the speed of a stream. If the boat can cover 45 km downstream in 2.5 hours, then how much distance
    Question

    The upstream speed of a boat is 12 km/hr more than the speed of a stream. If the boat can cover 45 km downstream in 2.5 hours, then how much distance is covered by the boat upstream in 5 hours?

    A.

    70 km

    B.

    30 km

    C.

    25 km

    D.

    50 km

    E.

    44 km

    Correct option is A

    Let the speed of boat in still water and speed of stream is X and Y km/hr respectively.
    (X - Y) - Y = 12
    X - Y - Y = 12
    X -2Y = 12
    X = 12 + 2Y….(I)
    And
    45X+Y\frac{45}{X + Y} = 2.5
    18 = X + Y
    18 = 12 + 2Y + Y (From I)
    6 = 3Y
    2 = Y
    X = 12 + 2(2)
    X = 16
    Required distance = 5 × (16 - 2) = 70 km

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