document.write( "Question 255442: Phil can paint the garage in 12 hrs., and Rick can do it in 10 hrs. They work together for 3 hrs. How long will it take Rick to finish the job alone? \n" ); document.write( "
Algebra.Com's Answer #187707 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Phil can paint the garage in 12 hrs., and Rick can do it in 10 hrs. \n" ); document.write( " They work together for 3 hrs. \n" ); document.write( "How long will it take Rick to finish the job alone? \n" ); document.write( ": \n" ); document.write( "Let t = time for required by Rick to finish the job \n" ); document.write( ": \n" ); document.write( "Let completed job = 1 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "Get rid of the denominators, multiply by 60, results: \n" ); document.write( "5(3) + 6(t+3) = 60 \n" ); document.write( ": \n" ); document.write( "15 + 6t + 18 = 60 \n" ); document.write( ": \n" ); document.write( "6t = 60 - 15 - 18 \n" ); document.write( ": \n" ); document.write( "6t = 27 \n" ); document.write( "t = \n" ); document.write( "t = 4.5 hrs to complete the job \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution (R works 7.5 hr) \n" ); document.write( "3/12 + 7.5/10 = \n" ); document.write( ".25 + .75 = 1 \n" ); document.write( " |