SOLUTION: a boat went 15 miles downstream in 1 hour and then returned to its dock in 5/3 hours. if the current of the stream was constant, find the speed of the boat and speed of the current

Question 584651: a boat went 15 miles downstream in 1 hour and then returned to its dock in 5/3 hours. if the current of the stream was constant, find the speed of the boat and speed of the current
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 the current
= the speed of the boat going with the current
= the speed of the boat going against the current
--------
(1)
(2)
---------------------
(1)
and
(2)
(2)
Add the equations
(1)
(2)

and, since
(1)
(1)
(1)
The speed of the boat in still water is 12 mi/hr
The speed of the current is 3 mi/hr
check:
(2)
(2)
(2)
OK
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