document.write( "Question 1087457: Nicholas paddles his canoe downstream from the Lodge to Bind Bend in 3 hours and then back upstream to the Lodge in 6 hours. If the distance from Lodge to Bend Bend is 15 miles, find Nicholas speed in still water and the speed of the current. \n" ); document.write( "

Algebra.Com's Answer #701759 by ikleyn(52847) $\"\"$ $\"About$

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document.write( "The effective speed of the canoe downstream is\r\n" );
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document.write( " = u + v    (1)\r\n" );
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document.write( "where u is the canoe speed in still water and v is the rate of the current.\r\n" );
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document.write( "The effective speed of the canoe upstream is \r\n" );
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document.write( " = u - v    (2).\r\n" );
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document.write( "Simplify and re-write:\r\n" );
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document.write( "u + v = 5,      (3)\r\n" );
document.write( "u - v = 2.5.    (4)\r\n" );
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document.write( "Now add the two equations. You will get\r\n" );
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document.write( "2u = 7.5  ---->  u =  = 3.75.\r\n" );
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document.write( "So the speed of the canoe in still water is 3.75 miles per hour.\r\n" );
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document.write( "Then the speed of the current, from (3), is\r\n" );
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document.write( "v = 5 - u = 5 - 3.75 = 1.35.\r\n" );
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document.write( "Answer. The speed of the canoe in still water is 3.75 miles per hour.\r\n" );
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document.write( "        The speed of the current is 1.25 miles per hour.\r\n" );
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