document.write( "Question 670903: A faucet can fill a sink in 5 minutes while a drain will empty the same sink in 8 minutes. If the faucet is turned on and the drain is left open, how long will it take to fill the sink? \n" ); document.write( "
Algebra.Com's Answer #417195 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A faucet can fill a sink in 5 minutes while a drain will empty the same sink in 8 minutes. If the faucet is turned on and the drain is left open, how long will it take to fill the sink?
\n" ); document.write( "------
\n" ); document.write( "faucet rate = 1/5 job/min
\n" ); document.write( "drain rate = 1/8 job/min
\n" ); document.write( "together rate = 1/x job/min
\n" ); document.write( "-------
\n" ); document.write( "Equation:
\n" ); document.write( "faucet rate - drain rate = 1/x
\n" ); document.write( "1/5 - 1/8 = 1/x
\n" ); document.write( "---
\n" ); document.write( "8x - 5x = 40
\n" ); document.write( "3x = 40
\n" ); document.write( "x = 13 1/3 minutes (time to fill the sink)
\n" ); document.write( "===============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );