document.write( "Question 1051863: Rowing with the current, a canoeist paddled 10 mi in 2 h. Against the current, the canoeist could paddle only 6 mi in the same amount of time. \r
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Algebra.Com's Answer #667342 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Rowing with the current, a canoeist paddled 10 mi in 2 h. Against the current, the canoeist could paddle only 6 mi in the same amount of time. \r
\n" ); document.write( "\n" ); document.write( "Find the rate of the canoest in calm water and the rate of the current.
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document.write( "Let u be the the canoe rate in still water, in mph.\r\n" );
document.write( "Let v be the rate of the current.\r\n" );
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document.write( "Then your governing equations are \r\n" );
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document.write( " = u + v   (1)   (the rate paddling with the stream)\r\n" );
document.write( "  = u - v   (2)   (the rate paddling against the srteam)\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "u + v = 5,     (3)\r\n" );
document.write( "u - v = 3.     (4)\r\n" );
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document.write( "To solve, add the equations (3) and (4). You will get\r\n" );
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document.write( "2u = 5 + 3  --->  2u = 8  --->  u = 4.\r\n" );
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document.write( "Thus you found the canoe rate in still water. It is 4 mph.\r\n" );
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document.write( "Then from (3) v = 5 - u = 5-4 = 1.\r\n" );
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document.write( "Answer.  the canoe rate in still water is 4 mph. The rate of the current is 1 mph.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a typical Upstream and Downstream round trips word problem.\r
\n" ); document.write( "\n" ); document.write( "You can find similar fully solved similar problems on upstream and downstream round trips with detailed solutions in the lessons \r
\n" ); document.write( "\n" ); document.write( "    - Wind and Current problems \r
\n" ); document.write( "\n" ); document.write( "    - More problems on upstream and downstream round trips \r
\n" ); document.write( "\n" ); document.write( "    - Selected problems from the archive on the boat floating Upstream and Downstream \r
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\n" ); document.write( "\n" ); document.write( "Read them attentively and learn how to solve this type of problems once and for all.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the section \"Word problems\", the topic \"Travel and Distance problems\".\r
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