SOLUTION: Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream 3 miles/hour faster than she rows upstream. Find Alicia's rowing rate e

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream 3 miles/hour faster than she rows upstream. Find Alicia's rowing rate e      Log On


   

Question 1112998: Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream 3 miles/hour faster than she rows upstream. Find Alicia's rowing rate each way. Round your answers to the nearest tenth, if necessary.
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
r, speed upstream
r+3, speed downstream

6%2F%28r%2B3%29=4%2Fr
-
3%2F%28r%2B3%29=2%2Fr
3r=2%28r%2B3%29
3r=2r%2B6
r=6
.
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream 3 miles/hour faster than she rows upstream. Find Alicia's rowing rate each way. Round your answers to the nearest tenth, if necessary.
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Downstream DATA:
dist = 6 miles ; rate = r+3 mph ; time = dist/rate = 6/(r+3) hrs
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Upstream DATA:
dist = 4 miles ; rate = r mph ; time = 4/r hrs
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Equation:
time down = time up
6/(r+3) = 4/r
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6r = 4r+12
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2r = 12
rate upstream = 6 mph
rate downstream = 6+3 = 9 mph
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Cheers,
Stan H.