SOLUTION: Juan's boat will go 19 miles per hour in still water. If he can go 13 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the

Question 1007500: Juan's boat will go 19 miles per hour in still water. If he can go 13 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the current
= boat's speed going downstream in mi/hr
= boat's speed going upstream in mi/hr
Let = time in hrs going both
downstream and upstream
------------------------------------
equation for going downstream:
(1)
equation for going upstream:
(2)
---------------------------
(1)
Substitute this result into (2)
(2)
(2)
(2)
(2)
(2)
The speed of the current is 3.455 mi/hr
----------------------
check:
(1)
(1)
(1)
(1) hrs
--------------------
(2)
(2)
(2)
(2) hrs
OK
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