document.write( "Question 262135: Julien can mulch a garden in 20 minutes. Together, Julien and Remy can mulch the same garden in 11 minutes. How long will it take Remy to mulch the garden when working alone? \n" ); document.write( "
Algebra.Com's Answer #193288 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Julien can mulch a garden in 20 minutes. \n" ); document.write( " Together, Julien and Remy can mulch the same garden in 11 minutes. \n" ); document.write( " How long will it take Remy to mulch the garden when working alone? \n" ); document.write( ": \n" ); document.write( "Let r = time in minutes required when R works alone \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1 (a mulched lawn) \n" ); document.write( ": \n" ); document.write( "A typical shared work equation \n" ); document.write( "(each will do a fraction of the work; the two fractions add up to 1) \n" ); document.write( " \n" ); document.write( "Multiply equation by 20r, results \n" ); document.write( "11r + 20(11) = 20r \n" ); document.write( "220 = 20r - 11r \n" ); document.write( "220 = 9r \n" ); document.write( "r = \n" ); document.write( "r = 24.44 min, R by himself \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check on a calc: \n" ); document.write( "11/20 + 11/24.44 = \n" ); document.write( ".55 + .45 = 1 \n" ); document.write( " |