SOLUTION: A man rows upstream 16 miles in 4 hours then back downstream in 2 hours. How fast can he row in still water? How fast is the current?

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Question 346231: A man rows upstream 16 miles in 4 hours then back downstream in 2 hours. How fast can he row in still water? How fast is the current?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Let r be the rate he can row in still water and c be the current.
r*t =d (rate*time = distance)
.
The question states the following to be true:
.
(r-c)4hr = 16mi Upstream r = 4 + c
and
(r+c)2hr = 16mi Downstream
.
Substitute
((4+c)+ c)*2 = 16
Solve:
((4+c)+ c) = 8
2c + 4 = 8
2*c = 4
c+=+highlight%282%28mi%2Fhr%29%29
r+=highlight%286%28mi%2Fhr%29%29
.
Check Your answer:
(6-2) *4 = 16
(6+2) *2 = 16