The time to complete a project varies inversely with the number of employees, which can be expressed mathematically as:
\[ T \propto \frac{1}{N} \]
where \( T \) is the time to complete the project and \( N \) is the number of employees.
From the information given:
- 6 people can complete the project in 4 days.
We can establish a relationship using the formula:
\[ T \times N = k \]
where \( k \) is a constant.
So, with 6 people working for 4 days:
\[ 4 \times 6 = k \] \[ k = 24 \]
Now we want to find the time \( T \) when there are 8 people:
\[ T \times 8 = 24 \]
To solve for \( T \), divide both sides by 8:
\[ T = \frac{24}{8} = 3 \text{ days} \]
Thus, it will take 8 people 3 days to complete the project.
The answer is 3 days.