SOLUTION: 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
Algebra.Com
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.
-----
Downstream:: rate = 16/2 = 8 mph
Upstream ::: rate = 16/4 = 4 mph
-------
Equations:
Downstream:: rate of boat + current = 8 mph
Upstream ::: rate of boat - current = 4 mph
------
Solve for current by subtracting::
2*current = 8-4
Ans: Current = 4/2 = 2 mph
-----------------------
Cheers,
Stan H.
----------------
RELATED QUESTIONS
A kayak can travel 32 miles downstream in 4 hours, while it would take 8 hours to... (answered by Boreal)
a kayak can travel 48 miles downstream in 4 hours, while it would take 8 to make the same (answered by Alan3354)
A kayak can travel 18 miles downstream in 3 hours, while it would take 9 hours to make... (answered by lwsshak3)
A kayak can travel 48 miles downstream in 4 hours, while it would take 24 hours to... (answered by josgarithmetic,ankor@dixie-net.com,greenestamps)
A kayak can travel 12 miles downstream in 2 hours, while it would take 6 hours to make... (answered by Alan3354)
A kayak can travel 24 miles downstream in 2 hours, while it would take 12 hours to... (answered by mananth)
A kayak can travel 64 miles downstream in 8 hours, while it would take 32 hours to make... (answered by josgarithmetic)
A kayak can travel 30 miles downstream in 5 hours, while it would take 15 hours to... (answered by ikleyn)
A kayak can travel 18 miles downstream in 3 hours, while it would take 9 hours to make (answered by ikleyn)