SOLUTION: Susan's boat has a top speed of 6 mph in Stillwater. While traveling on A river at top speed, she went 10 miles upstream in the same amount of time she went 30 miles downstream. F
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Question 1057027: Susan's boat has a top speed of 6 mph in Stillwater. While traveling on A river at top speed, she went 10 miles upstream in the same amount of time she went 30 miles downstream. Find the rate of the river current. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Susan's boat has a top speed of 6 mph in Still water. While traveling on A river at top speed, she went 10 miles upstream in the same amount of time she went 30 miles downstream. Find the rate of the river current.
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Upstream DATA:
dist = 10 miles ; rate = 6-c mph ; time = d/r = 10/(6-c) hrs
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Downstream DATA:
dist = 30 miles ; rate = 6+c mph ; time = d/r = 30/(6+c) hrs
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Equation:
time = time
10/(6-c) = 30/(6+c)
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60 + 10c = 180-30c
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40c =120
c = 3 mph (speed of the current)
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Cheers,
Stan H.
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