SOLUTION: Traveling upstream against the current, it took a motorboat 2 hours to make a 60-mile trip. The return trip traveling downstream with the current took 1 hour. Find the rate of the

Question 1024241: Traveling upstream against the current, it took a motorboat 2 hours to make a 60-mile trip. The return trip traveling downstream with the current took 1 hour. Find the rate of the current.
Please show the work
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Same process as the problem with the Pigeon

John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the rate of the current
Let = the speed of the boat in still water
= the speed of the boat going downstream
= the speed of the boat going upstream
-----------------------------------------
Equation for going upstream:
(1)
Equation for going downstream:
(2)
--------------------------
(1)
and
(2)
Add the equations:

-------------
(2)
(2)
(2)
(2)
The rate of the current is 15 mi/hr
-----------------------------
check:
(1)
(1)
(1)
(1)
OK
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