document.write( "Question 713049: Pump A can fill a swimming pool in 30 hours, while working together with pump B they will fill the pool in 12 hours. How much time would it take pump B to fill the pool? \n" ); document.write( "
Algebra.Com's Answer #438263 by josgarithmetic(39617)\"\" \"About 
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One job is filling the pool. Rate as gallons per hours.
\n" ); document.write( "Rate*Time=Jobs\r
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\n" ); document.write( "\n" ); document.write( "Pump__________rate__________time_____________jobs
\n" ); document.write( "A_____________1/30_____________30____________1
\n" ); document.write( "B______________r______________(\"t\")____________1
\n" ); document.write( "A & B__________1/12______________12_____________1\r
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\n" ); document.write( "\n" ); document.write( "While A and B work together, each pump contributes its own rate to the sum of the simultaneous rates. \r
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\n" ); document.write( "\n" ); document.write( "\"highlight%281%2F30%2Br=1%2F12%29\", find r, which is units of jobs per hour. Note that the question is asking how many hours to fill the pool by pump B alone, which means how many hours per 1 job. This is the RECIPROCAL of r. We essentially are looking for \"t\" in the above table.\r
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\n" ); document.write( "\n" ); document.write( "\"r=1%2F12-1%2F30\"
\n" ); document.write( "\"r=%285-2%29%2F30\"
\n" ); document.write( "\"r=3%2F30\", \"highlight%28r=1%2F10%29\"
\n" ); document.write( "Answer: That means 10 hours for pump B to fill the pool
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