SOLUTION: John can do a piece of work in 8 days and peter can do the same piece of work in 6 days.They work together on it for two days and then peter stops working altogether.How long will

Algebra ->  Proportions -> SOLUTION: John can do a piece of work in 8 days and peter can do the same piece of work in 6 days.They work together on it for two days and then peter stops working altogether.How long will       Log On


   

Question 353154: John can do a piece of work in 8 days and peter can do the same piece of work in 6 days.They work together on it for two days and then peter stops working altogether.How long will it take for john to complete the remaining part of the work by himself?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Output
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Let Z be the number of worker-days to do the work.
For John,
R%5Bj%5D%2A8=Z
R%5Bj%5D=Z%2F8
For Peter,
R%5Bp%5D%2A6=Z
R%5Bp%5D=Z%2F6
When they work together for 2 days,

The work that remains is,
Z-%287Z%29%2F12=%285Z%29%2F12
Find the time it takes John to finish it,
R%5Bj%5D%2At=%285Z%29%2F12
%28Z%2F8%29%2At=%285Z%29%2F12
t=40%2F12
highlight%28t=10%2F3%29days