document.write( "Question 424737: larry can paint the walls of his apartment in 8h. after he has worked for 3h, patrick joins him , and together they finish the job in 2h. how long would it take patrick to do the entire painting job without larry? \n" ); document.write( "
Algebra.Com's Answer #296005 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! larry can paint the walls of his apartment in 8h. after he has worked for 3h, \n" ); document.write( " patrick joins him , and together they finish the job in 2h. \n" ); document.write( " how long would it take patrick to do the entire painting job without larry? \n" ); document.write( ": \n" ); document.write( "let p = time required by Pat doing the job alone \n" ); document.write( "let the completed job = 1 \n" ); document.write( ": \n" ); document.write( "From the given information we know: L worked 5 hrs and P worked 2 hrs \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "multiply by 8p to clear the denominators, results: \n" ); document.write( "5p + 8(2) = 8p \n" ); document.write( "16 = 8p - 5p \n" ); document.write( "16 = 3p \n" ); document.write( "p = \n" ); document.write( "p = 5 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this using decimals \n" ); document.write( "5/8 + 2/5.33 \n" ); document.write( ".625 + .375 = 1.0 \n" ); document.write( " |