If it takes 3 people 2 hours to paint a wall, how long will it take 6 people to paint the same wall, assuming they work at the same rate?

Step 1: Identify the given information. We know that 3 people can paint a wall in 2 hours.

Step 2: Understand the relationship. The time taken to paint a wall is inversely proportional to the number of people painting. This means that if more people are painting, it will take less time.

Step 3: Set up a proportion to solve for the unknown. If 3 people can paint a wall in 2 hours, then 6 people (which is twice as many people) will take half as long to paint the same wall.

Step 4: Solve the proportion. Half of 2 hours is 1 hour.

So, it will take 6 people 1 hour to paint the same wall, assuming they work at the same rate.