6 carpenters make 96 windows in 16 days. If 8 carpenters for 4 days how many windows will they make ?

A. 16

B. 28

C. 36

D. 32

Options

A. A
B. B
C. C
D. D

Answer

To solve the problem, we can use the concept of man-days, which is a way to quantify the amount of work done based on the number of workers and the time they work.

### Step-by-Step Solution:

1. **Calculate the total man-days for the first scenario:**
- We know that 6 carpenters make 96 windows in 16 days.
- Total man-days = Number of carpenters × Number of days
- Total man-days = 6 carpenters × 16 days = 96 man-days.

2. **Calculate the number of windows made per man-day:**
- Windows per man-day = Total windows / Total man-days
- Windows per man-day = 96 windows / 96 man-days = 1 window per man-day.

3. **Calculate the total man-days for the second scenario:**
- We have 8 carpenters working for 4 days.
- Total man-days = 8 carpenters × 4 days = 32 man-days.

4. **Calculate the total number of windows made in the second scenario:**
- Total windows = Windows per man-day × Total man-days
- Total windows = 1 window per man-day × 32 man-days = 32 windows.

### Final Answer:
Thus, if 8 carpenters work for 4 days, they will make **32 windows**.

### Options:
A. 16
B. 28
C. 36
D. 32

The correct answer is **D. 32**.