SOLUTION: A fisherman can row upstream at 22 mph and downstream at 88 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fi

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Question 1069227: A fisherman can row upstream at
22 mph and downstream at 88 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row if the entire trip took
55 ​hours?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = the one-way distance he rowed in miles
Let +t+ = time in hrs to row upstream
+55+-+t+ = time in hrs to row downstream
--------------------------------------------
Equation for going upstream
(1) +d+=+22t+
Equation for going downstream
(2) +d+=+88%2A%28+55+-+t+%29+
------------------------------
(2) +d+=+4840+-+88t+
Substitue (1) into (2)
(2) +22t+=+4840+-+88t+
(2) +110t+=+4840+
(2) +t+=+44+
and
+55+-+t+=+55+-+44+
+55+-+t+=+11+
-----------------------
(1) +d+=+22t+
(1) +d+=+22%2A44+
(1) +d+=+968+
and
+2%2A968+=+1936+
He rowed 1,936 miles
-------------------------
check:
(2) +d+=+88%2A%28+55+-+t+%29+
(2) +968+=+88%2A%28+55+-+44+%29+
(2) +968+=+88%2A11+
(2) +968+=+968+
OK

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
As always from this person, the inputted numbers are wrong.