SOLUTION: 12 men can complete a work in ten days. 20 women can complete the same work in twelve days. 8 men and 4 women started working and after nine days 10 more women joined them. How ma

Question 983773: 12 men can complete a work in ten days. 20 women can complete the same work in twelve days. 8 men
and 4 women started working and after nine days 10 more women joined them. How many days will they
now take to complete the remaining work?
Found 3 solutions by solver91311, josgarithmetic, MathTherapy:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

If 12 men can do a job in 10 days, then 12 men can do of the job in 1 day, and then 1 man can do of the job in 1 day. Similarly, 1 woman can do of the job in 1 day.

So 8 men and 4 women working for 9 days do of the job, leaving of the job for 8 men and 14 women to accomplish in days, so:

Solve for

John

My calculator said it, I believe it, that settles it

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
R rate of 1 man
r rate of 1 woman

-

Let t be the time needed to complete after some of the job was done using the described combination of men and women.

Simplify this and solve for t.

LCD is 120.
Multiply LCD by both sides.

, this many days.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

12 men can complete a work in ten days. 20 women can complete the same work in twelve days. 8 men
and 4 women started working and after nine days 10 more women joined them. How many days will they
now take to complete the remaining work?

Time taken by 8 men and 14 women to do remaining of work: days
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