document.write( "Question 494483: George and Stanley are builfing a stone fence. They can complete the fence together in 11hrs. George can complete it in 33 hrs working alone. If they work together for 6 hours, then stanley goes to the pub for a pint, How much longer must George work to finish the fence? \n" ); document.write( "
Algebra.Com's Answer #335740 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! George and Stanley are builfing a stone fence. \n" ); document.write( " They can complete the fence together in 11hrs. George can complete it in 33 hrs working alone. \n" ); document.write( ": \n" ); document.write( "Let s = Stanley's working time alone \n" ); document.write( "let the completed job = 1 \n" ); document.write( ": \n" ); document.write( "A shared work equation to find Stanley's working time alone \n" ); document.write( " \n" ); document.write( "multiply by 33s, results: \n" ); document.write( "11s + 33(11) = 33s \n" ); document.write( "363 = 33s - 11s \n" ); document.write( "363 = 22s \n" ); document.write( "s = \n" ); document.write( "s = 16.5 hrs is Stanley's working time alone \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "If they work together for 6 hours, then Stanley goes to the pub for a pint, How much longer must George work to finish the fence? \n" ); document.write( ": \n" ); document.write( "let g = length of time George works after Stanley leaves \n" ); document.write( "then \n" ); document.write( "(g + 6) = Georges total working time \n" ); document.write( "A shared work equation for this scenario \n" ); document.write( " \n" ); document.write( "Multiply by 544.5 (33*16.5), to clear the denominators, results \n" ); document.write( "16.5(g+6) + 33(6) = 544.5 \n" ); document.write( "16.5g + 99 + 198 = 544.5 \n" ); document.write( "16.5g + 297 = 544.5 \n" ); document.write( "16.5g = 544.5 - 297 \n" ); document.write( "16.5g = 247.5 \n" ); document.write( "g = \n" ); document.write( "g = 15 more hrs for thirsty George \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |