SOLUTION: A and B can do a peice of work in 8 days whih A alone can take 12 days, how many days will B work alone?

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Question 999059: A and B can do a peice of work in 8 days whih A alone can take 12 days, how many days will B work alone?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A and B can do a peice of work in 8 days whih A alone can take 12 days, how many days will B work alone?
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Use part of the job per day:
A does the job in 12 days --> 1/12 job per day.
B does 1/B job per day.
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1/12 + 1/B = 1/8 job/day
1/B = 1/8 - 1/12 = 1/24
B takes 24 days

Answer by ikleyn(52867) About Me  (Show Source):
You can put this solution on YOUR website!
.
1%2F8 - 1%2F12 = 3%2F24 - 2%2F24 = 1%2F24.

Answer.  In 24 days.

1%2F8  is the rate of work for  A+B  working together.

1%2F12  is the rate of work for  A  working alone.

The difference is the rate of work for  B  working alone.

See the lesson  Using fractions to solve word problems on joint work  in this site.  You will find the solutions of the typical word problems on joint work.