8 Women can complete a work in 15 h. In how many hours. Will 12 women complete the same work ?

Options

A. 12
B. 6
C. 8
D. 10

Answer

To solve the problem of how many hours 12 women will take to complete the same work that 8 women can complete in 15 hours, we can follow these steps:

### Step 1: Determine the total work done in woman-hours
First, we need to calculate the total amount of work done in terms of woman-hours. If 8 women can complete the work in 15 hours, we can find the total work as follows:

\[ \text{Total work} = \text{Number of women} \times \text{Time taken} = 8 \text{ women} \times 15 \text{ hours} = 120 \text{ woman-hours} \]

### Step 2: Calculate the time taken by 12 women
Now, we need to find out how long it will take for 12 women to complete the same amount of work (120 woman-hours). We can use the formula:

\[ \text{Time} = \frac{\text{Total work}}{\text{Number of women}} \]

Substituting the values we have:

\[ \text{Time} = \frac{120 \text{ woman-hours}}{12 \text{ women}} = 10 \text{ hours} \]

### Conclusion
Thus, 12 women will complete the same work in **10 hours**.

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