Final answer:
To clean 6 pools in 8 hours, when it takes 3 people 4 hours to clean 1 pool, it would take 9 people. This is calculated by equating the total person-hours required for the task and the person-hours available in the given time frame.
Step-by-step explanation:
If it takes 3 people 4 hours to clean 1 pool, they collectively work 12 person-hours per pool.
To find out how many people it would take to clean 6 pools in 8 hours, we first calculate the total person-hours required for cleaning 6 pools, which is 6 pools × 12 person-hours/pool = 72 person-hours.
We then divide the total person-hours by the number of hours available to find out how many people are needed: 72 person-hours ÷ 8 hours = 9 people.
Therefore, it will take 9 people to clean 6 pools in 8 hours.