math

A fisherman traveled in a boat from point N upstream. After having traveled 6 km, he stopped rowing and 2 hour 40 min after first leaving N, he was brought back to N by the current. Knowing that the speed of the boat in still water is 9 km/hour, find the speed of the river’s current.

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asked by yo
  1. speed of current ---- x km/h

    so speed against the current = 9-x km/h
    speed drifting ----- x km/h

    time going against the current = 6/(9-x) hrs
    time drifting back down = 6/x hrs

    total time:
    6/(9-x) + 6/x= 2 2/3 = 8/3

    multiply each term by 3x(9-x) and solve for x

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    posted by Reiny

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