document.write( "Question 751260: Pipe A can fill a tank in 3 hours. If pipe B can fill the same tank in 2 hours, how many minutes will it take both pipes to fill 2/3 of the tank? \n" ); document.write( "

Algebra.Com's Answer #457107 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+t+\"$ = time in hrs for both pipes
\n" ); document.write( "to fill $\"+2%2F3+\"$ of the tank
\n" ); document.write( "Add their rates of filling to get rate filling together
\n" ); document.write( "( 1 tank filled / 3 hrs ) + ( 1 tank filled / 2 hrs ) = ( 2/3 tank / t hrs )
\n" ); document.write( " $\"+1%2F3+%2B+1%2F2+=+%28%282%2F3%29+%2F+t%29+\"$
\n" ); document.write( "Multiply both sides by $\"+6t+\"$
\n" ); document.write( " $\"+2t+%2B+3t+=+6%2A%282%2F3%29+\"$
\n" ); document.write( " $\"+5t+=+12%2F3+\"$
\n" ); document.write( " $\"+5t+=+4+\"$
\n" ); document.write( " $\"+t+=+4%2F5+\"$
\n" ); document.write( " $\"+%284%2F5%29%2A60+=+48+\"$
\n" ); document.write( "It will take 48 minutes for
\n" ); document.write( "both pipes to fill 2/3 of the tank
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F3+%2B+1%2F2+=+%28%282%2F3%29+%2F+t%29+\"$
\n" ); document.write( " $\"+1%2F3+%2B+1%2F2+=+%282%2F3%29+%2F+%284%2F5%29+\"$
\n" ); document.write( " $\"+1%2F3+%2B+1%2F2+=+%282%2F3%29%2A%285%2F4%29+\"$
\n" ); document.write( " $\"+1%2F3+%2B+1%2F2+=+5%2F6+\"$
\n" ); document.write( "Multiply both sides by $\"+6+\"$
\n" ); document.write( " $\"+2+%2B+3+=+5+\"$
\n" ); document.write( "OK \n" ); document.write( "

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