8 men and 6 women can comlete a piece of work in 42 days. How many days will it take for 12 lmen and 9 women to complete the same work ?
A. 6 men can complete the work in 84 days.
B. 7 women can complete the work in 126 days.
C. The amount of work done by a woman is four-sevenths of the work done by a man in one day.

Options

A. Any two of them
B. Any of them
C. Only C
D. No need of any information

Explanation

To solve the problem, we need to determine how many days it will take for 12 men and 9 women to complete the same work that 8 men and 6 women can complete in 42 days.

### Step-by-Step Solution:

1. **Calculate the total work done by 8 men and 6 women in 42 days**:
- Let the work done by one man in one day be \( M \) and the work done by one woman in one day be \( W \).
- The total work done by 8 men and 6 women in one day is:
\[
...