A motorboat can go 8miles downstream on a river in 20mins.It takes 30mins for the boat to go upstream the same 8miles.find the speed of the current. A.20mph B.16mph C.24mph D.4mph

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A motorboat can go 8miles downstream on a river in 20mins.It takes 30mins for the boat to go upstream the same 8miles.find the speed of the current. A.20mph B.16mph C.24mph D.4mph

Mathematics
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\[\frac{1}{3}(r+c)=8\] \[r+c=24\] \[r-c=16\]

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Add the two equations.
\[2r=40\] \[r=20, r+c=24, c=4\]
D. The current speed is 4 mph. Let r and c be the speed of the boat and current respectively. Minutes have been converted to hours. Solve the following for r and c:\[\left\{(r+c)\frac{1}{3}=8,(r-c)\frac{1}{2}=8\right\} \]\[\{r=20,c=4\} \]

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