document.write( "Question 354828: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 1/2 hours. How quickly can all three fill the pool together? \n" ); document.write( "
Algebra.Com's Answer #253508 by Fombitz(32388)\"\" \"About 
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Rate*Time=Output
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\n" ); document.write( "Let \"P\" be the output required to fill the pool.
\n" ); document.write( "Find each person's rate.
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\n" ); document.write( "Jim:\"R%5Bj%5D%2A30=P\"
\n" ); document.write( "\"R%5Bj%5D=P%2F30\"
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\n" ); document.write( "Sue:\"R%5Bs%5D%2A45=P\"
\n" ); document.write( "\"R%5Bs%5D=P%2F45\"
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\n" ); document.write( "Tony:\"R%5Bt%5D%2A90=P\"
\n" ); document.write( "\"R%5Bt%5D=P%2F90\"
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\n" ); document.write( "Their output all together,
\n" ); document.write( "\"%28R%5Bj%5D%2BR%5Bs%5D%2BR%5Bt%5D%29%2At=P\"
\n" ); document.write( "Substituting,
\n" ); document.write( "\"%28P%2F30%2BP%2F45%2BP%2F90%29%2At=P\"
\n" ); document.write( "\"%283%2F90%2B2%2F45%2B1%2F90%29%2At=1\"
\n" ); document.write( "\"%286%2F90%29%2At=1\"
\n" ); document.write( "\"highlight%28t=15%29\" minutes.
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