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Question 1177332: A kayak can travel 24 miles downstream in 2 hours, while it would take 12 hours to make the same trip upstream. Find the speed of the kayak in still water, as well as the speed of the current. Let k represent the speed of the kayak in still water, and let c represent the speed of the current.
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
A kayak can travel 24 miles downstream in 2 hours, while it would take 12 hours to make the same trip upstream.
Let k represent the speed of the kayak in still water,
and let c represent the speed of the current.
speed downstream = k+c
distance = 24 miles
time =2 hours
24/(k+c) =2
2k+2c =24
divide by 2
k+c =12 -----------(1)
Upstream
24/(k-c) = 12
12k-12c=24
/12
k-c=2-----------2
solve equation 1 &2
add them
2k= 14
k =7 speed of kayak = 7mph
speed of current = 5 by plugging in equation 2
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