document.write( "Question 119321: a water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. if the sing is full, how long will it take to empty if both the faucet and the drain are open? \n" ); document.write( "
Algebra.Com's Answer #87401 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. if the sing is full, how long will it take to empty if both the faucet and the drain are open?
\n" ); document.write( ":
\n" ); document.write( "Let t = time for this to occur
\n" ); document.write( "Let the empty sink = 1
\n" ); document.write( ":
\n" ); document.write( "\"t%2F4\" - \"t%2F6\" = 1
\n" ); document.write( ":
\n" ); document.write( "Get rid of the denominators, multiply equation by 12
\n" ); document.write( "12*\"t%2F4\" - 12*\"t%2F6\" = 12(1)
\n" ); document.write( ":
\n" ); document.write( "Cancel out the denominators and you have:
\n" ); document.write( "3t - 2t = 12
\n" ); document.write( ":
\n" ); document.write( "t = 12 min
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check in original equaiton:
\n" ); document.write( "\"12%2F4\" - \"12%2F6\" =
\n" ); document.write( " 3 - 2 = 1; confirms our solution of t = 12
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "That was pretty easy, right?
\n" ); document.write( "
\n" );