24 women can complete a work in 45 days. If 18 women are employed, then in how many days the work would be completed?

Options

A. 60
B. 70
C. 85
D. 75

Answer

To solve the problem, we will follow these steps:

### Step 1: Calculate the total work done in terms of "woman-days."
Given that 24 women can complete the work in 45 days, we first calculate the total work in woman-days.

\[ \text{Total Work} = \text{Number of Women} \times \text{Number of Days} = 24 \text{ women} \times 45 \text{ days} = 1080 \text{ woman-days} \]

### Step 2: Determine the work done by 18 women in one day.
Next, we find out how much work 18 women can do in one day.

\[ \text{Work done by 18 women in one day} = 18 \text{ women} \times 1 \text{ day} = 18 \text{ woman-days} \]

### Step 3: Calculate the number of days required for 18 women to complete the work.
Now, we need to find out how many days it will take for 18 women to complete the total work of 1080 woman-days.

\[ \text{Number of Days} = \frac{\text{Total Work}}{\text{Work done by 18 women in one day}} = \frac{1080 \text{ woman-days}}{18 \text{ woman-days/day}} = 60 \text{ days} \]

### Conclusion:
Thus, if 18 women are employed, they will complete the work in **60 days**.

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