Question

12 men or 15 women can finish a work in 24days how many days will 8 men and 8 women do

Answer 1

12 men does a work in 24 days,

So, work done by 12 men in 1 day will be 1/24

so, work done by 1 man in 1 day will be 1/24 X 1/12 i.e. 1/288

Similarly same work done by 1 woman in 1 day will be 1/24 X 1/15 i.e. 1/360

So work done by 1 man and 1 woman together will be:

1/288 + 1/360

So by 8 men and women together becomes

8/288 + 8/360

1/36+ 1/45 = 5/180 + 4/180

9/180 = 1/20

This is the work done in 1 day by 8 men and women together.

Therefore they will take 20 days to complete the work.

Answer 2

Hello.

Here is your answer---

Given Conditions---

  Work of 12 men = Work of 15 women.
Therefore, Work of 1 men = work of 15/12 women.
Thus, work of 8 men = Work of(15/12) × 8 Women.
                                 =Work of 10 Women.

Thus, 8 men + 8 women = 10 women + 8 women
                                        = 18 women.

From the Question,

                 15 Women can do a work in 24 Days.
   Thus, 1 women-------------------------------24 × 15
 Therefore, 18 women--------------------------(24 × 15)/18 Days.
                                                                  = 20 Days.

Thus, 8 men and 8 women can complete the Work in 20 Days.


Hope it helps.

Have a marvelous Day.