SOLUTION: Two men working together can do a job in 20 days. After both have been working 10 days, one quits. The other man finishes the job in 12 more days. How many days would each man have

Question 418517: Two men working together can do a job in 20 days. After both have been working 10 days, one quits. The other man finishes the job in 12 more days. How many days would each man have needed to do the job alone?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
the job is half done (10/20) when the 1st man quits

the 2nd man does the second half in 12 days , so it would take him 24 days to do the job alone

in the 10 days they worked together , the 2nd man did 10/24 ,(5/12), of the job
___ since together they did 1/2 ,(6/12), ; this means that the 1st man did 1/12 ,(6/12 - 5/12), in 10 days
___ it would take the 1st man 120 days ,(10 / 1/12), to do the job alone
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