document.write( "Question 770103: One pipe alone can fill a tub in 12 minutes. Another pipe can fill it in only 8 minutes, how long will it take for both pipes to fill the tub if they work together? \n" ); document.write( "

Algebra.Com's Answer #469282 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of filling
\n" ); document.write( "1st pipe's rate:
\n" ); document.write( "( 1 tub ) / ( 12 min )
\n" ); document.write( "2nd pipe's rate:
\n" ); document.write( "( 1 tub ) / ( 8 min )
\n" ); document.write( "----------------
\n" ); document.write( "Let $\"+t+\"$ = time in minutes for
\n" ); document.write( "both pipes to fill tub
\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( "It will take them 4.8 min
\n" ); document.write( " \n" ); document.write( "

\n" );