SOLUTION: 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?

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?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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.

RELATED QUESTIONS
A certain number of men can finish a piece of work in 10 days. If however there were 10... (answered by ankor@dixie-net.com)
A team of 30 men is supposed to do a work in 38 days. After 25 days, 5 more men were... (answered by josgarithmetic)
Please help me solve this question A certain number of women can do a job in 50... (answered by greenestamps)
Certain men can complete a work in 160 days .If there were 10 men more,the work would... (answered by josgarithmetic)
3 man can can do as much work as 5 women and 1 women can do as much work as 2 children.... (answered by josgarithmetic)
3 man can do a piece of work in 5 days 3 women can do piece of work days 6 days if both... (answered by richwmiller)
2 men and 3 women can do a piece of work in 16 days .In how days can 4 men and 6 women do (answered by richwmiller)
5 men, 20 women and 40 boys can do a piece of work in 120 days working 6 hrs a day. In... (answered by jorel555)
women can do a piece of work in 18 days. How many women would be required to do the same... (answered by ewatrrr)