SOLUTION: The currents speed Is 3 mph. Sean kayaks 4mi upstream the same time it takes him 10 mi to go downstream. What's the speed of the kayak in still water????

Question 412453: The currents speed Is 3 mph. Sean kayaks 4mi upstream the same time it takes him 10 mi to go downstream. What's the speed of the kayak in still water????
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
mi/hr is the speed of current
Let = speed of kayak in still water
going downstream:
speed =
going upstream:
speed =
------------------
given:
(1)
-----------------
This is 2 equation and 2 unknowns, so it's solvable
(1)
(2)
Subtract (1) from (2)
(2)
(1)

hr
Now I plug this into (1) and solve for
(1)
(1)
(1)
The speed of the kayak in still water is 7 mi/hr
check answer:
(2)
(2)

OK

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