# In How Many Days 18 Women can Complete the Work.

4 men and 6 women complete a work in 8 days, 2 men and 9 women also complete in 8 days. The number of days 18 women complete the work:

- 16/3 days
- 17/3 days
- 14/3 days
- 13/3 days

**Answer: (1) 16/3 days**

**Explanation:-
**Let a man can work in a day = X and A woman can work in a day = Y.

4 men and 6 women complete a work in 8 days,

Then, 4 X + 6 Y = 1/8 …………………………. (1)

2 men and 9 women also complete in 8 days,

2 X + 9 Y = 1/8 ………………………… (2)

Solve equation (1) & (2),

Then, X = 1/64 & Y = 1/96

Therefore, 1 woman can do a work in a day = 1/96

Then, 18 women can do in a day = 18/96

= 3/16

There are 18 women can complete the work in 16/3 days.

Hence, the answer is (1) 16/3 days.