SOLUTION: Amanda can row 32 miles downstream in 8 hours but it takes her 6 hours to row 12 miles upstream. Find the rate she rows in still water and the rate of the current?

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Question 834886: Amanda can row 32 miles downstream in 8 hours but it takes her 6 hours to row 12 miles upstream. Find the rate she rows in still water and the rate of the current?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
speed of current,c
speed Amanda row without current, r

____________speed_______________time_______________distance
Downst______r+c________________8___________________32
Upst________r-c_________________6__________________12

EQUATIONS ACCORDING TO R*T=D

%28r%2Bc%29%2A8=32 and %28r-c%29%2A6=12
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8r%2B8c=32
r%2Bc=4 for downstream equation simplified.
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r-c=12%2F6
r-c=2 for upstream simplified equation.
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These two equations in the shown simplifeed form are perfectly fit for using the Elimination Method. You finish this.