document.write( "Question 72965: Used by itself, the cold water faucet can fill a bathtub in 12 minutes. It takes 15 minutes for the hot water faucet to fill the bathtub. If both faucets are on, how long will it take to fill the bathtub?(round to the nearest .01 minute) \n" ); document.write( "
Algebra.Com's Answer #52197 by ptaylor(2198)\"\" \"About 
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\n" ); document.write( "Let x=time it takes to fill bathtub with both faucets on.\r
\n" ); document.write( "\n" ); document.write( "Now we know that:\r
\n" ); document.write( "\n" ); document.write( "The cold water faucet fills at the rate of 1/12 of the bathtub per minute
\n" ); document.write( "The hot water faucet fills at the rate of 1/15 of the bathtub per minute\r
\n" ); document.write( "\n" ); document.write( "With both on, they fill at the rate of 1/12+1/15 or 5/60+4/60=9/60 of the bathtub per minute\r
\n" ); document.write( "\n" ); document.write( "Now, clearly 60/60 would be a full bathtub\r
\n" ); document.write( "\n" ); document.write( "So the equation we want to solve is \r
\n" ); document.write( "\n" ); document.write( "(9/60)x=60/60 Multiply both sides by 60 to get rid of fractions\r
\n" ); document.write( "\n" ); document.write( "9x=60 divide both sides by 9
\n" ); document.write( "x=6.67 minutes--------------------------both filling together\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor
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