document.write( "Question 926052: working together, linda and kathy can clean a beach house in 5.14 hours. had she done it alone it would have taken linda 11 hours. how long would it take kathy to do it alone? \r
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Algebra.Com's Answer #561971 by TimothyLamb(4379)\"\" \"About 
You can put this solution on YOUR website!
x = linda work rate
\n" ); document.write( "y = kathy work rate
\n" ); document.write( "---
\n" ); document.write( "rate = work/time
\n" ); document.write( "time = work/rate
\n" ); document.write( "work = 1 job (clean one house)
\n" ); document.write( "---
\n" ); document.write( "x = 1/11
\n" ); document.write( "x + y = 1/5.14
\n" ); document.write( "1/11 + y = 1/5.14
\n" ); document.write( "y = 1/5.14 - 1/11
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "time for kathy working alone = work/rate
\n" ); document.write( "1/y = 1/( 1/5.14 - 1/11 )
\n" ); document.write( "1/y = 9.65 hours
\n" ); document.write( "---
\n" ); document.write( "check:
\n" ); document.write( "x + y = 1/5.14
\n" ); document.write( "1/11 + (1/5.14 - 1/11) = 1/5.14
\n" ); document.write( "5.14/(11*5.14) + ( 11/(11*5.14) - 5.14/(11*5.14) ) = 1/5.14
\n" ); document.write( "5.14/(11*5.14) + 11/(11*5.14) - 5.14/(11*5.14) = 1/5.14
\n" ); document.write( "11/(11*5.14) = 1/5.14
\n" ); document.write( "1/5.14 = 1/5.14
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