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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document.write( "How do i set this problem up? \n" );
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Algebra.Com's Answer #561971 by TimothyLamb(4379)![]() ![]() 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 \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " \n" ); document.write( " |