SOLUTION: Sam can row ten miles downstream in one-third the time he can row six miles upstream. If sam can row five miles per hour in still water, how fast is the current?

Question 841574: Sam can row ten miles downstream in one-third the time he can row six miles upstream. If sam can row five miles per hour in still water, how fast is the current?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the current in mi/hr
Let = his time for rowing upstream in hrs
-------------
Equation for rowing upstream:
(1)
Equation for rowing downstream:
(2)
----------------------------
(1)
and
(2)
(2)
---------------------
(2)
(2)
substitute (2) into (1)
(1)
(1)
(1)
(1)
(1)
(1) hrs
and
(1)
(1)
(1)
(1)
(1)
The speed of the current is 3.333 miles/hr
check:
(2)
(2)
(2)
(2)
(2) hrs
and
(1)
(1)
(1)
(1)
(1) hrs
OK

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