document.write( "Question 927674: For a certain bathtub, it takes the cold water faucet
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document.write( "4
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document.write( " times as long to fill the tub as it does the hot water faucet. Left on together, the two faucets take
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document.write( "4
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document.write( " minutes to fill the tub. How long will it take the cold water faucet to fill the tub by itself? \n" );
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Algebra.Com's Answer #563168 by nerdybill(7384) You can put this solution on YOUR website! For a certain bathtub, it takes the cold water faucet 4 times as long to fill the tub as it does the hot water faucet. Left on together, the two faucets take 4 minutes to fill the tub. How long will it take the cold water faucet to fill the tub by itself? \n" ); document.write( ". \n" ); document.write( "Let x = time (minutes) it takes for hot water faucet \n" ); document.write( "then \n" ); document.write( "4x = time (minutes) for cold \n" ); document.write( ". \n" ); document.write( "4(1/x + 1/(4x)) = 1 \n" ); document.write( "multiply both sides by 4x: \n" ); document.write( "4(4 + 1) = 4x \n" ); document.write( "4(5) = 4x \n" ); document.write( "20 = 4x \n" ); document.write( "5 minutes = x (hot water) \n" ); document.write( ". \n" ); document.write( "Time it takes for cold water faucet to fill tub by itself: \n" ); document.write( "4x = 4(5) = 20 minutes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |