SOLUTION: Ali can do a certain job in 12 days,Baisi can do it in 15 days while Charles in 20 days.if the three worked together on the same job for two days and then Baisi left,how long would

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Question 684239: Ali can do a certain job in 12 days,Baisi can do it in 15 days while Charles in 20 days.if the three worked together on the same job for two days and then Baisi left,how long would Ali and Charles take to finish the remaining work?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Ali can do a certain job in 12 days, Baisi can do it in 15 days while Charles in 20 days.
if the three worked together on the same job for two days and then Baisi left,how long would Ali and Charles take to finish the remaining work?
:
Let t = time required to do the remaining work
Let the completed job = 1
:
A shared work equation. each will do a fraction of the work, the 3 fractions must add up to 1
:
%28%28t%2B2%29%29%2F12 + 2%2F15 + %28%28t%2B2%29%29%2F20 = 1
multiplying by 60 will clear the denominators, resulting in:
5(t+2) + 4(2) + 3(t+2) = 60
:
5t + 10 + 8 + 3t + 6 = 60
combine like terms
8t + 24 = 60
:
8t = 60 - 24
8t = 36
t = 36/8
t = 4.5 additional days to finish
:
:
You can check this
%28%286.5%29%29%2F12 + 2%2F15 + %28%286.5%29%29%2F20 =