document.write( "Question 1064973: The current of a river is
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document.write( "2
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document.write( "2 miles per hour. A boat travels to a point
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document.write( "24
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document.write( "24 miles upstream and back in
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document.write( "5
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document.write( "5 hours. What is the speed of the boat in still water? \n" );
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Algebra.Com's Answer #680076 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! x= speed of boat \n" ); document.write( "(x-2) is speed upstream and 24/(x-2) is hours it takes to go 24 miles. \n" ); document.write( "(x+2) is speed downstream, and 24/(x+2) is hours it takes to go 24 miles. \n" ); document.write( "Those two times add to 5 hours \n" ); document.write( "Multiply by (x-2)(x+2) or x^2-4 as common denominator, \n" ); document.write( "24(x+2)+24(x-2)=5x^2-20 \n" ); document.write( "0=5x^2-48x-20 \n" ); document.write( "(5x+2)(x-10)=0 \n" ); document.write( "x=10 mph in still water. \n" ); document.write( "so 8 mph upstream and takes 3 hours to go 24 miles \n" ); document.write( "and 12 mph downstream and takes 2 hours to go 24 miles. Total time 5 hours. \n" ); document.write( " |