document.write( "Question 872545: A pipe fills 1 tank in 4 h. If a second pipe empties 1 tank in 6 h. How long does it take for the tank tank to fill with both pipes operating? \n" ); document.write( "

Algebra.Com's Answer #526227 by josmiceli(19441) $\"\"$ $\"About$

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Add the rate of filling and subtract
\n" ); document.write( "the rate of emptying
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\n" ); document.write( "Rate of filling:
\n" ); document.write( "( 1 tank filled ) / ( 4 hrs )
\n" ); document.write( "Rate of emptying:
\n" ); document.write( "( 1 tank ) / ( 6 hrs )
\n" ); document.write( "----------------------
\n" ); document.write( "( 1 tank filled ) / ( t hrs ) is the rate
\n" ); document.write( "of filling with both pipes open
\n" ); document.write( "----------------------------
\n" ); document.write( " $\"+1%2F4+-+1%2F6+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+12t+\"$
\n" ); document.write( " $\"+3t+-+2t+=+12+\"$
\n" ); document.write( " $\"+t+=+12+\"$
\n" ); document.write( "It takes 12 hrs for the tank tank to
\n" ); document.write( "fill with both pipes operating
\n" ); document.write( " \n" ); document.write( "

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