document.write( "Question 961767: Pump A, working alone, can fill a swimming pool in 6 hours. EIther one of pumps B or C, working alone, can fill the pool in 3 hours. If all three pumps, working at these rates, are used at the same time to fill the pool, what fraction of the pool is filled by pump A? \n" ); document.write( "

Algebra.Com's Answer #587659 by josmiceli(19441) $\"\"$ $\"About$

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A's rate of pumping is $\"+1%2F6+\"$
\n" ); document.write( "B's rate is $\"+1%2F3+\"$
\n" ); document.write( "C's rate is $\"+1%2F3+\"$
\n" ); document.write( "Working together:
\n" ); document.write( " $\"+1%2F6+%2B+1%2F3+%2B+1%2F3+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+6t+\"$
\n" ); document.write( " $\"+t+%2B+2t+%2B+2t+=+6+\"$
\n" ); document.write( " $\"+5t+=+6+\"$
\n" ); document.write( " $\"+t+=+1.2+\"$ hrs
\n" ); document.write( "-----------------
\n" ); document.write( "All 3 pumps are pumping for 1.2 hrs
\n" ); document.write( "The fraction of the pool that A pumps
\n" ); document.write( "is:
\n" ); document.write( " $\"+%28+1%2F6+%29%2A1.2+=+.2+\"$
\n" ); document.write( "The fraction that B pumps is:
\n" ); document.write( " $\"+%28+1%2F3+%29%2A1.2+=+.4+\"$
\n" ); document.write( "The fraction that C pumps is:
\n" ); document.write( " $\"+%28+1%2F3+%29%2A1.2+=+.4+\"$
\n" ); document.write( "The fraction of the pool filled by pump A is 1/5
\n" ); document.write( " \n" ); document.write( "

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