SOLUTION: Don Williams uses his small motorboat to go 4 miles upstream to his favorite fishing spot. Against the current, the trip takes 2/5 hours. With the current the trip takes 1/5. How f

Question 720809: Don Williams uses his small motorboat to go 4 miles upstream to his favorite fishing spot. Against the current, the trip takes 2/5 hours. With the current the trip takes 1/5. How fast can the boat travel in still water. What is the speed of the current?? thanks
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the boat in still water
Let = the speed of ther current
= the speed of the boat going against the current
= the speed of the boat going with the current
-----------------
Going upstream:
(1)
Going downstream:
(2)
----------------------
(1)
(1)
and
(2)
----------------
Add (1) and (2)

and
(1)
(1)
(1)
(1)
The speed of the boat in still water is 15 mi/hr
The speed of ther current is 5 mi/hr
check:
(2)
(2)
(2)
(2)
OK
(1)
(1)
(1)
(10
OK

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