SOLUTION: When a crew rows with the current, it travels 18 miles in 2 hours. Against the current, the crew rows 5/9 of the distance in 2 hours. Let x=the crew rowing rate in still water and

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Question 766469: When a crew rows with the current, it travels 18 miles in 2 hours. Against the current, the crew rows 5/9 of the distance in 2 hours. Let x=the crew rowing rate in still water and let y=the rate of the current. Find the rate of rowing in still water and the rate of the current.
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = rate of rowing in still water in mi/hr
Let +y+ = rate of the current in mi/hr
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Rowing with the current:
(1) +18+=+%28+x+%2B+y+%29%2A2+
Rowing against the current:
(2) +%285%2F9%29%2A18+=+%28+x+-+y+%29%2A2+
--------------------------
(2) +10+=+2x+-+2y+
and
(1) +18+=+2x+%2B+2y+
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Add the equations:
+28+=+4x+
+x+=+7+
Plug this result into (1) or (2)
(2) +10+=+2x+-+2y+
(2) +5+=+x+-+y+
(2) +5+=+7+-+y+
(2) +y+=+7+-+5+
(2) +y+=+2+
------------
The rate of rowing in still water is 7 mi/hr
The rate of the current is 2 mi/hr
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check:
(2) +%285%2F9%29%2A18+=+%28+7+-+2+%29%2A2+
(2) +10+=+5%2A2+
(2) +10+=+10+
and
(1) +18+=+%28+7+%2B+2+%29%2A2+
(1) +18+=+9%2A2+
(1) +18+=+18+
OK

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
When a crew rows with the current, it travels 18 miles in 2 hours. Against the current, the crew rows 5/9 of the distance in 2 hours. Let x=the crew rowing rate in still water and let y=the rate of the current. Find the rate of rowing in still water and the rate of the current.
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Find the speed upstream and d/stream.
The crew's speed is the average of the 2.
The current is the difference.