document.write( "Question 547846: one pipe can fill a tank in 12 hours, and another can fill the tank in 8 hours. how long will it take both pipes working together to fill the tank? \n" ); document.write( "

Algebra.Com's Answer #356597 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of filling
\n" ); document.write( "1st pipe's rate = ( 1 tank ) / ( 12 hrs )
\n" ); document.write( "2nd pipe's rate = ( 1tank ) / ( 8 hrs )
\n" ); document.write( "Let $\"t\"$ = hrs to fill tank using both pipes
\n" ); document.write( " $\"+1%2F12+%2B+1%2F8+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+24t+\"$
\n" ); document.write( " $\"+2t+%2B+3t+=+24+\"$
\n" ); document.write( " $\"+5t+=+24+\"$
\n" ); document.write( " $\"+t+=+4.8+\"$
\n" ); document.write( " $\"+.8%2A60+=+48+\"$
\n" ); document.write( "It will take 4 hrs and 48 min with both pipes \n" ); document.write( "

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