SOLUTION: A motorboat takes 3 hours to travel 108mi going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the cu

Question 1110733: A motorboat takes 3 hours to travel 108mi going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A motorboat takes 3 hours to travel 108mi going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
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Upstream DATA:
rate = 108 mi/3 hrs = 36 mph
downstream DATA:
rate = 108/2 = 54 mph
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Equations:
b - c = 36 mph
b + c = 54 mph
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2b = 90
boat speed = 45 mph
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Solve for "c":
b + c = 54
45 + c = 54
current = 9 mph
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Cheers,
Stan H.
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