document.write( "Question 728854: One tap can fill a cistern in 2 hours and another empty the cistern in 3 hours.How long will they take to fill the cistern if both the taps are opened ? \n" ); document.write( "

Algebra.Com's Answer #445613 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Add the rate of filling and
\n" ); document.write( "subtract the rate of emptying
\n" ); document.write( "( 1 cistern filled / 2 hrs ) minus ( 1 cistern emptied / 3 hrs ) = ( 1 cistern filled / t hrs )
\n" ); document.write( " $\"+1%2F2+-+1%2F3+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+6t+\"$
\n" ); document.write( " $\"+3t+-+2t+=+6+\"$
\n" ); document.write( " $\"+t+=+6+\"$
\n" ); document.write( "It will take 6 hrs with both taps open
\n" ); document.write( " \n" ); document.write( "

\n" );