SOLUTION: 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, the

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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?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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.
:
Let s = Stanley's working time alone
let the completed job = 1
:
A shared work equation to find Stanley's working time alone
11%2F33 + 11%2Fs = 1
multiply by 33s, results:
11s + 33(11) = 33s
363 = 33s - 11s
363 = 22s
s = 363%2F22
s = 16.5 hrs is Stanley's working time 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?
:
let g = length of time George works after Stanley leaves
then
(g + 6) = Georges total working time
A shared work equation for this scenario
%28%28g%2B6%29%29%2F33 + 6%2F16.5 = 1
Multiply by 544.5 (33*16.5), to clear the denominators, results
16.5(g+6) + 33(6) = 544.5
16.5g + 99 + 198 = 544.5
16.5g + 297 = 544.5
16.5g = 544.5 - 297
16.5g = 247.5
g = 247.5%2F16.5
g = 15 more hrs for thirsty George
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