document.write( "Question 1054510: Two pipes empty into a tank. One pipe can fill the tank in 5.0 h, and the other in 6.0 h. How long will it take both pipes together to fill the tank? \n" ); document.write( "

Algebra.Com's Answer #669718 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of filling
\n" ); document.write( "pipe 1:
\n" ); document.write( "[ 1 tank filled ] / [ 5 hrs ]
\n" ); document.write( "pipe 2:
\n" ); document.write( "[ 1 tank filled ] / [ 6 hrs ]
\n" ); document.write( "--------------------------
\n" ); document.write( "Let $\"+t+\"$ = time in hrs for both
\n" ); document.write( "pipes to fill the tank
\n" ); document.write( "rate with both pipes filling:
\n" ); document.write( "[ 1 tank filled ] / [ t hrs ]
\n" ); document.write( " $\"+1%2F5+%2B+1%2F6+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+30t+\"$
\n" ); document.write( " $\"+6t+%2B+5t+=+30+\"$
\n" ); document.write( " $\"+11t+=+30+\"$
\n" ); document.write( " $\"+t+=+2.727+\"$ hrs
\n" ); document.write( "and
\n" ); document.write( " $\"+.727%2A60+=+43.6+\"$ min
\n" ); document.write( "-------------------------
\n" ); document.write( "The tank will fill in 2 hrs 43.6 min\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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