document.write( "Question 814638: A sink has two faucets: one for hot water and one for cold water. The sink can be filled by a cold water faucet in 3.3 minutes. if both faucets are open, the sink is filled in 2.2 minutes. how long does it take to fill the sink with just the hot-water faucet open? \n" ); document.write( "
Algebra.Com's Answer #490420 by LinnW(1048)\"\" \"About 
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set c = sinks/minute from cold faucet
\n" ); document.write( "set h = sinks/minute from hot faucet
\n" ); document.write( "set t = time\r
\n" ); document.write( "\n" ); document.write( "t* ( c + h ) = 1 is the formula for filling 1 sink\r
\n" ); document.write( "\n" ); document.write( "Since it takes 2.2 minutes, this becomes
\n" ); document.write( "2.2 * ( c + h ) = 1\r
\n" ); document.write( "\n" ); document.write( "Since the cold faucet by it self fills in 3.3 minutes,
\n" ); document.write( " 3 * ( c ) = 1
\n" ); document.write( "and c = 1/3\r
\n" ); document.write( "\n" ); document.write( "Substituting in 2.2 * ( c + h ) =1
\n" ); document.write( " 2.2 * ( 1/3 + h ) = 1
\n" ); document.write( "divide each side by 2.2
\n" ); document.write( " 1/3 + h = 1/2.2
\n" ); document.write( "subtract 1/3 from each side
\n" ); document.write( " h = 1/2.2 - 1/3
\n" ); document.write( " h = 0.121212
\n" ); document.write( "Now we have the hot rate.
\n" ); document.write( "So t * h = 1
\n" ); document.write( " t * 0.121212 = 1
\n" ); document.write( " t = 1/0.121212
\n" ); document.write( " t = 8.25
\n" ); document.write( " \n" ); document.write( "
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