SOLUTION: Craig can do a piece of work in 10 days. After he has worked for 2 days, Miko came to help him and together they finished it in 3 days. in how many days could miko alone have done

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Craig can do a piece of work in 10 days. After he has worked for 2 days, Miko came to help him and together they finished it in 3 days. in how many days could miko alone have done       Log On


   



Question 746301: Craig can do a piece of work in 10 days. After he has worked for 2 days, Miko came to help him and together they finished it in 3 days. in how many days could miko alone have done the work
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Craig can do a piece of work in 10 days. After he has worked for 2 days, Miko came to help him and together they finished it in 3 days. in how many days could miko alone have done the work
.
Let x = time (days) Miko can do job alone
then
2(1/10) + 3(1/10 + 1/x) = 1
2/10 + 3/10 + 3/x = 1
multiplying both sides by 10x:
2x + 3x + 30 = 10x
5x + 30 = 10x
30 = 5x
6 days = x