document.write( "Question 756485: Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 24 h using both hoses. They also know that Bob's hose, used alone, takes 50% less time than Jim's hose alone. How much time is required to fill the pool by each hose alone?\r
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document.write( "and help with this one too..\r
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document.write( "thanks:) \n" );
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Algebra.Com's Answer #460219 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 24 h using both hoses. They also know that Bob's hose, used alone, takes 50% less time than Jim's hose alone. How much time is required to fill the pool by each hose alone? \n" ); document.write( ". \n" ); document.write( "Let x = time (hours) it takes for Jim's hose alone \n" ); document.write( "then \n" ); document.write( ".5x = time(hours) it takes for Bob's hose alone \n" ); document.write( ". \n" ); document.write( "24(1/x + 1/(.5x)) = 1 \n" ); document.write( "multiply both sides by .5x: \n" ); document.write( "24(1/x + 1/(.5x)) = .5x \n" ); document.write( "24(.5 + 1) = .5x \n" ); document.write( "24(1.5) = .5x \n" ); document.write( "36 = .5x \n" ); document.write( "36/.5 = x \n" ); document.write( "72 hours = x (Jim's hose) \n" ); document.write( ". \n" ); document.write( "Bob's hose: \n" ); document.write( ".5x = .5(72) = 36 hours\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |