A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row if the entire trip took 6 hours?

total time = upstream time + downstream time

he rowed the same distance both ways.

upstream time = D/4

downstream time = D/6

total time = D/4 + D/6 = 3D/12 + 2D/12 = 5D/12 = 3 hours

D = 3*12/5 = 36/5 or 7.2 miles

where D is the one-way distance. The total distance he rowed is 2*D = 72/5 or 14.4 miles

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