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 a

Question 910244: 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
Two workers work together for 2.3333/x and 2.3333/10 since he can do the job alone in 10
One worker worked 2.3333 days with his partner and 3 days alone for a total of 5.3333 hours
3/x+2.3333/x+2.3333/10=1
5.3333/x+2.3333/10=1
5.3333/x+=1-2.3333/10
5.3333/x+=0.76667
5.3333=0.76667*x
5.3333/0.76667=x
x=6.95644802 days if he had done the job alone
check
3/6.95644802+2.3333/6.95644802+2.3333/10=1
0.43125457+0.33541543+0.23333=1
1.0=1
ok

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