To find out how many days it would take 2 painters to complete the same job, we can start by calculating the work rate of each painter.
Given:
- 3 painters can complete the job in 6 days.
- Let's assume the total job can be represented as 1 unit of work.
First, we find the work rate of each painter:
- Work rate of 1 painter = 1 job / (3 painters * 6 days) = 1/18 of the job per day.
Now, we need to calculate how many days it would take 2 painters to complete the job:
- Work rate of 2 painters = 2 * (1/18) = 2/18 = 1/9 of the job per day.
- Number of days for 2 painters to complete the job = 1 job / (1/9 job per day) = 9 days.
Therefore, it would take 2 painters 9 days to complete the same job.