ALGEBRA

A BOATMAN ROWS TO A PLACE 48KM DISTANT AND BACK IN 14 HOURS; HE FINDS HE CAN ROW 4KM WITH THE STREAM IN THE SAME TIME AS 3KM AGAINST THE STREAM. FIND THE RATE OF THE STREAM?

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  1. If his rowing speed is r, and the current speed is c, then

    (r+c)/4 = (r-c)/3
    48/(r+c) + 48/(r-c) = 14

    c = 1

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  2. Suppose he move 4 km downstream in x hours. Then,

    Speed downstream = 4 km/hr.
    x
    Speed upstream = 3 km/hr.
    x
    48 + 48 = 14 or x = 1 .
    (4/x) (3/x) 2
    So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.

    Rate of the stream = 1 (8 - 6) km/hr = 1 km/hr.
    2

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