A boat travelled 66 miles each way downstream and back. The trip downstream took 3 hours. The trip back took 33 hours. Find the speed of the boat in the still water and the speed of the current.

Question

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Answer 1

3 hours down stream

33 hours upstream

66 miles each way

d=rt

distance = rate of speed times time traveled

66 = 3(b+c) = 33(b-c)

b+c =22

3b + 3c = 66

3b - 3c = 66

6b = 132

b = 132/2 = 26 mph = boat speed in still water

c = 26-22= 4 mph = current speed