Question 1039004: A certain number of women can do a work in 50 days. If there were 20 women more it could have been finished in 5 days less, how many women are there?
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website! Rate of one woman is r.
n, the number of women in the first part.
Basic work-rate rule is RT=J to relate rate, time, amount of job.
Solve this system.
Answer by MathTherapy(10557)  (Show Source):
You can put this solution on YOUR website!
A certain number of women can do a work in 50 days. If there were 20 women more it could have been finished in 5 days less, how many women are there?
Original number of women: 
Answer by ikleyn(52921)  (Show Source):
You can put this solution on YOUR website! .
A certain number of women can do a work in 50 days. If there were 20 women more it could have been finished in 5 days less,
how many women are there?
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Let "n" be the number of workers in the first case.
Then the number of workers in the second case is (n+20).
All the job is n*50 in the first case, and (n+20)*45 in the second case.
So the equation is
50n = 45(n+20).
Simplify and solve:
50n = 45n + 900,
5n = 900,
n =  = 180.
It is your answer: 180 workers in the first case.
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