document.write( "Question 63914: if it takes the faucet 21 minutes to fill the tub, and it takes the drain 28 minutes to empty the tub, how long will it take to fill the tub, if grandma forgets to close the drain while filling it? \n" ); document.write( "
Algebra.Com's Answer #44559 by rajagopalan(174)\"\" \"About 
You can put this solution on YOUR website!
You solve it like this:\r
\n" ); document.write( "\n" ); document.write( "Filling time 21 min
\n" ); document.write( "Filling Rate 1/21 of the tub per minute....A
\n" ); document.write( "Draining Rate 1/28 of the tub per minute....B
\n" ); document.write( "So, Net Filling rate (NFR) = A-B = (1/21) - (1/28)
\n" ); document.write( "Taking LCM of 84, we get NFR = (4/84)-(3/84)=1/84\r
\n" ); document.write( "\n" ); document.write( "For filling 1/84 of the tub it takes 1 minute
\n" ); document.write( "for filling full tub ie 84/84 it will take 84 minutes.\r
\n" ); document.write( "\n" ); document.write( "Good day..
\n" ); document.write( "Cross Check :
\n" ); document.write( "In 84 minutes the fill pipe will pour 4 times the tub volume
\n" ); document.write( "In 84 minutes the Drain pipe will drain 3 times the tub volume\r
\n" ); document.write( "\n" ); document.write( "We have one volume of water in tub.
\n" ); document.write( "Ok!
\n" ); document.write( "
\n" );