SOLUTION: It takes a kayaker 4 hours to travel 8 hours upstream and 2 hours to travel 8 miles downstream. The speed of the current remains constant during the trip. Find the average speed of
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Question 906121: It takes a kayaker 4 hours to travel 8 hours upstream and 2 hours to travel 8 miles downstream. The speed of the current remains constant during the trip. Find the average speed of the kayak in still water and the speed of the current.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
I assume there is a typo
4 hours to travel 8 hours upstream
should be
4 hours to travel 8 miles upstream
r*t=d
with the current
(r+c)*2=8
(r+c)=8/2
r+c=4
against the current
(r-c)*4=8
(r-c)=8/4
r-c=2
r+c=4
add
r+r=4+2
2r=6
r=3 mph kayak speed
3-c=2
c=3-2
c=1 mph current
check
(3+1)*2=8
4*2=8
8=8
ok
(r-c)*4=8
(3-1)*4=8
2*4=8
8=8
ok
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