# In how many days will 12 women working alone will finish the same job?

3 men and 6 women finish a job in 9 days while 2 men and 8 women finish it is 12 days. In how many days will 12 women working alone will finish the same job?

- 36 days
- 30 days
- 32 days
- 34 days

**Answer: (1) 36 days**

**Explanation:-**

Let the 1 man can do work in a day = X,

and 1 woman can do work in a day = Y

Then, 3 X + 6 Y = 1/9 ……………………….. (1)

and 2 X + 8 Y = 1/12 ……………. . (2)

Solve, the equation (1) & (2),

Y = 1/36 x 12

A woman can do the work in a day = 1/432

Then, 12 women can finish the work in a day = 12/432

= 1/36

12 women can finish the work = 36 days.

Hence, the answer is (1) 36 days.