Question

12 men or 15 women canfinish a work in 24 days . in how many days the same work can finished by 8 men and 8 women ?​

Answer 1

Answer:

Step-by-step explanation:

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.

Answer 2

Answer:

20

Step-by-step explanation:

12 men can do the work in 24 days.

So 1 man can do it in 12 × 24 = 288 days.

So 8 men can do it in 288/8 = 36 days.

Similarly,

15 women can do the work in 24 days.

So 1 woman can do it in 15 × 24 = 360 days.

So 8 women can do it in 360/8 = 45 days.

Now, in 1 day, 8 men can do 1/36 of the work and 8 women can do 1/45 of the work. So in 1 day, 8 men and 8 women together can do 1/36 + 1/ 45 = 1/20 of the work. This means, they can complete the work in 20 days.