document.write( "Question 503644: The cold-water faucet fills a bathtub in 12min, and the hot-water faucet fills the bathtub in 10min. If you remove the stopper, a full tub will empty in 6min. How long will it take to fill the tub if both faucets are on and the stopper is removed? \n" ); document.write( "
Algebra.Com's Answer #339338 by stanbon(75887)\"\" \"About 
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The cold-water faucet fills a bathtub in 12min, and the hot-water faucet fills the bathtub in 10min. If you remove the stopper, a full tub will empty in 6min. How long will it take to fill the tub if both faucets are on and the stopper is removed?
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\n" ); document.write( "Cold rate = 1/12 job/min
\n" ); document.write( "Warm rate = 1/10 job/min
\n" ); document.write( "Drain rate = 1/6 job/min
\n" ); document.write( "Together rate = 1/x job/min
\n" ); document.write( "----
\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate - rate = together rate
\n" ); document.write( "1/12 + 1/10 - 1/6 = 1/x
\n" ); document.write( "Multiply thru by 60x to get:
\n" ); document.write( "5x + 6x - 10x = 60
\n" ); document.write( "x = 60 minutes (time to fill the tub together)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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