12 men can finish a project in 20 days. 18 women can finish
the same project in 16 days and 24 children can finish it in 18
days. 8 women and 16 children worked for 9 days and then
left. In how many will 10 men coplete the remaining project ?

Options

A. `10 1/2`
B. 10
C. 9
D. `11 1/2`

Explanation

To solve the problem step by step, we will first determine the work done by men, women, and children, and then calculate how long it will take for 10 men to complete the remaining work after 8 women and 16 children have worked for 9 days.

### Step 1: Calculate the work done by men, women, and children

1. **Work done by 12 men in 20 days**:
- Total work = Number of men × Number of days = 12 men × 20 days = 240 man-days.

2. **Work done by 18 women in 16 days**:
- Total work = Number of women × Number of days = 18 women × 16 days = 288 woman-days.

3. **Work done by 24 children in 18 days**:
- Total work = Number of children × Number of days = 24 children × 18 days = 432 child-days.