Final answer:
To find the average time a person spends in the airport security checkpoint, divide the total number of people in the checkpoint by the rate at which people enter. The average time is 44.44 minutes.
Step-by-step explanation:
To find the average time a person spends in the airport security checkpoint, we need to divide the total number of people in the checkpoint by the rate at which people enter.
Given that the rate of people entering is 72 people per minute and there are on average 3,200 people in the airport security checkpoint, we can use the formula:
Average time = Total number of people / Rate of people entering
Average time = 3,200 / 72 = 44.44 minutes.
Therefore, on average, a person spends approximately 44.44 minutes in the airport security checkpoint.