document.write( "Question 596620: it takes 6 hrs longer to empty swimming pool than it does to fill it
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document.write( "if you accidentally leave the drain open it wil take 120hrs to fill pool
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document.write( "how long would it take if you remember to close the drain.? \n" );
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Algebra.Com's Answer #377820 by lwsshak3(11628) ![]() You can put this solution on YOUR website! 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( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |