SOLUTION: tutor quick help plz and solution. Nestor can do a piece of work in 10 days. After working 3 days on it, he is joined by Vic and they finished the remaining work in 2 1/3 days. In

Question 909813: tutor quick help plz and solution. Nestor can do a piece of work in 10 days. After working 3 days on it, he is joined by Vic and they finished the remaining work in 2 1/3 days. In how many days can Vic do the work alone?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
One worker works alone for 3/x days
Two workers work together for 2.333/x days and 2.333/10 days since he can do the job alone in 10 days
One worker worked 2.333 days with his partner and 3 days alone for a total of 5.333 days
3/x+2.333/x+2.333/10=1
5.333/x+2.333/10=1
5.333/x+=1-2.333/10
5.333/x+=0.7667
5.333=0.7667*x
5.333/0.7667=x
x=6.95578453 days if he had done the job alone
check
3/6.95578453+2.333/6.95578453+2.333/10=1
0.43129571+0.33540429+0.2333=1
1.0=1
ok
codewtet3

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