SOLUTION: Tom can finish a piece of work in 11 days. After he has worked for 2 days, Mike joins him and together they finish the work in 6 more days. In how many days could Mike finish the w

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Tom can finish a piece of work in 11 days. After he has worked for 2 days, Mike joins him and together they finish the work in 6 more days. In how many days could Mike finish the w      Log On


   

Question 900147: Tom can finish a piece of work in 11 days. After he has worked for 2 days, Mike joins him and together they finish the work in 6 more days. In how many days could Mike finish the work by himself?
Answer by lwsshak3(11628) About Me  (Show Source):
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Tom can finish a piece of work in 11 days. After he has worked for 2 days, Mike joins him and together they finish the work in 6 more days. In how many days could Mike finish the work by himself?
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let x=number of days Mike could finish the work by himself
1/x=Mike's work rate
1/11=Tom's work rate
6(1/x)+8(1/11)=1
6/x+8/11=1
6/x=1-8/11=11/11-8/11=3/11
x/6=11/3
3x=66
x=22
number of days Mike could finish the work by himself=22