SOLUTION: Wang starts a project, which he can finish in 20 days. Five days later after he starts, his company sends Lee to help. Together, they finishes the project in 5 more days. If Wang i

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Question 360622: Wang starts a project, which he can finish in 20 days. Five days later after he starts, his company sends Lee to help. Together, they finishes the project in 5 more days. If Wang is paid $ 100 a day, what is a fair daily salary for Lee?
Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
Wang can do the job in 20 days or 1/20 of the job each day
after 5 days Wang has done 5/20 or 1/4 of the job
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Lee can do the job in L days or 1/L of the job each day
working together Wang and Lee get 1/20+1/L of the job done each day
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There is only 3/4 of the job left when Lee joins in and it takes 5 days
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5(1/20+1/L)=3/4 solve for L
1/4+5/L=3/4
5/L=3/4-1/4=1/2
cross multiply
L=10, so it takes Lee 10 days to do the job by himself which is twice as fast as Wang of 20 days to get the job done
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So if Wang gets $100/day then Lee should get $200/day