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Posted by on Sunday, May 27, 2012 at 5:18pm.

It took a boat 6 h to travel 84 km up a river against the current but only 4 h and 12 minutes for the return trip with the current. Find the speed of the boat in still water and the speed of the current water.

  • Math - , Monday, May 28, 2012 at 8:30pm

    Vb - Vw = 84km/6h = 14km/h.
    Vb + Vw = 84km/4.2h = 20 km/h.

    Eq1: Vb - Vw = 14
    Eq2: Vb + Vw = 20
    Add the Eqs:
    2Vb = 34
    Vb = 17 km/h. = Velocity of boat.

    In Eq2, substitute 17 for Vb:
    17 + Vw = 20
    Vw = 3 km/h = Velocity of the water.

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