Question 1128989: A kayak can travel 16 miles downstream in 2 hours, while it would take 4 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 stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A kayak can travel 16 miles downstream in 2 hours, while it would take 4 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.
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Downstream:: rate = 16/2 = 8 mph
Upstream ::: rate = 16/4 = 4 mph
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Equations:
Downstream:: rate of boat + current = 8 mph
Upstream ::: rate of boat - current = 4 mph
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Solve for current by subtracting::
2*current = 8-4
Ans: Current = 4/2 = 2 mph
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Cheers,
Stan H.
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