Answer:
16 days
Explanation:
To determine how many days it will take 6 workers to complete the same project that 8 workers can complete in 12 days, we can use the concept of worker-days.
First, we calculate the total amount of work required to complete the project in terms of worker-days:
Total worker-days=Number of workers×Number of days
Total worker-days=8×12=96 worker-days
This means that the project requires 96 worker-days of effort.
Next, we need to find out how many days it will take for 6 workers to complete 96 worker-days of work. Let dd be the number of days it will take for 6 workers to complete the project. We set up the equation:
6×d=96
Solving for d:
d= 96/6 =16
Therefore, it will take 6 workers 16 days to complete the same project.
