SOLUTION: In testing the rate at which a polluted stream flows, a boat that travels at 5.5 mi/h in still water took 5.0 h to go downstream between to points, and it took 8.0 h to go u

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Question 859010: In testing the rate at which a polluted stream flows, a boat that travels at 5.5 mi/h in still water took 5.0 h to go downstream between to points, and it took 8.0 h to go upstream between the same two points. What is the rate of flow of the stream?

Answer by lwsshak3(11628) About Me  (Show Source):
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In testing the rate at which a polluted stream flows, a boat that travels at 5.5 mi/h in still water took 5.0 h to go downstream between to points, and it took 8.0 h to go upstream between the same two points. What is the rate of flow of the stream?
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let c=rate of current
(5.5+c)=rate of boat downstream
(5.5-c)=rate of boat downstream
distance=travel time*rate (equal for both upstream and downstream)
...
5(5.5+c)=8(5.5-c)
27.5+5c=44-8c
13c=16.5
c≈1.27
rate of flow of the stream? 1.27 mi/h