document.write( "Question 1048257: A boat can travel 34 mph in still water. If the boat can travel 100 miles with the current in the same time it can travel 80 miles against the current, find the rate of the current r in miles per hour. \n" ); document.write( "

Algebra.Com's Answer #663849 by ikleyn(52855) $\"\"$ $\"About$

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\n" ); document.write( "A boat can travel 34 mph in still water. If the boat can travel 100 miles with the current in the same time
\n" ); document.write( "it can travel 80 miles against the current, find the rate of the current r in miles per hour.
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document.write( "Your governing equation is\r\n" );
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document.write( " =  \r\n" );
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document.write( "Its       left  side is the time for the boat to travel 100 miles with the current,\r\n" );
document.write( "while its right side is the time for the boat to travel  80 miles against the current.\r\n" );
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document.write( "To solve the equation, multiply both sides by (34+v)*(34-v). You will get\r\n" );
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document.write( "100*(34-v) = 80*(34+v),  or\r\n" );
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document.write( "3400 - 100v = 2720 + 80v,\r\n" );
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document.write( "3400 - 2720 = 100v + 80v,\r\n" );
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document.write( "680 = 180v\r\n" );
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document.write( "v =  = 3.778.\r\n" );
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document.write( "Answer.  The rate of the current is 3.778 mph  (approximately).\r\n" );
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