document.write( "Question 596620: it takes 6 hrs longer to empty swimming pool than it does to fill it
\n" ); document.write( "if you accidentally leave the drain open it wil take 120hrs to fill pool
\n" ); document.write( "how long would it take if you remember to close the drain.?
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Algebra.Com's Answer #377820 by lwsshak3(11628)\"\" \"About 
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it takes 6 hrs longer to empty swimming pool than it does to fill it
\n" ); document.write( "if you accidentally leave the drain open it wil take 120hrs to fill pool
\n" ); document.write( "how long would it take if you remember to close the drain.?
\n" ); document.write( "**
\n" ); document.write( "let x=hrs to fill pool with drain closed
\n" ); document.write( "work rate: 1/x
\n" ); document.write( "x+6= hrs to drain filled pool
\n" ); document.write( "work rate: 1/(x+6)
\n" ); document.write( "time*fill rate-time*drain rate=1 (100% of pool filled)
\n" ); document.write( "120/x-120/(x+6)=1
\n" ); document.write( "LCD: x(x+6)
\n" ); document.write( "120x+7200-120x=x^2+6x
\n" ); document.write( "x^2+6x-7200=0
\n" ); document.write( "solve by following quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=1, b=6, c=-7200
\n" ); document.write( "x≈81.91
\n" ); document.write( "or
\n" ); document.write( "x≈-87.91(reject, x>0)
\n" ); document.write( "ans:
\n" ); document.write( "If you remember to close the drain, it would take about 82 hours to fill the pool\r
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