16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left 4 women joined them. How many days will they take to complete the remaining work?

Options

A. 4 days
B. 6 days
C. 8 days
D. 10 days

Answer

To solve the problem step by step, let's break it down into manageable parts.

### Step 1: Calculate the total work done by women and men
1. **Work done by women**:
- 16 women take 12 days to complete the work.
- Total work (in woman-days) = Number of women × Number of days = 16 × 12 = 192 woman-days.

2. **Work done by men**:
- 12 men take 8 days to complete the work.
- Total work (in man-days) = Number of men × Number of days = 12 × 8 = 96 man-days.