SOLUTION: I need help setting up and answering this problem: The speed of the current in a river is 2mph. John rows 13 miles upstream and the same 13 miles back downstream. If the trip down

Question 921813: I need help setting up and answering this problem:
The speed of the current in a river is 2mph. John rows 13 miles upstream and the same 13 miles back downstream. If the trip downstream took 2 hours less than the trip upstream, what was John's rowing speed?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39628) (Show Source): You can put this solution on YOUR website!
r, rowing speed if no current
RT=D is uniform rates travel rule.
Using multiplicative inverse of R, T=D/R.

_______________________rate__________time___________distance
UPSTREAM_______________r-2______________________13
DOWNSTRM_______________r+2_____________________13

The description indicates that .
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed rowing in still water in mi/hr
= his speed rowing upstream in mi/hr
= his speed rowing downstream in mi/hr
Let = time in hrs to row upstream
= time in hrs to row downstream
---------------------------------------
Equation for rowing upstream:
(1)
Equation for rowing downstream:
(2)
--------------------------
(2)
and
(1)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
(2)
(2)
John's rowing speed is 5.477 mi/hr
-----------
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
Error due to rounding off, I think
Check all my math

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