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If Officer Hilton inspected 4 individuals in 2 hours, how long would it take him to inspect 7 individuals at the same rate?

  1. 2 hours

  2. 3.5 hours

  3. 4 hours

  4. 5 hours

The correct answer is: 3.5 hours

To determine how long it would take Officer Hilton to inspect 7 individuals at the same rate he inspected the first 4 individuals, we first need to find his rate of inspection. Given that Officer Hilton inspected 4 individuals in 2 hours, we can calculate his rate of inspection as follows: - Rate of inspection = Number of individuals inspected / Time taken - Rate = 4 individuals / 2 hours = 2 individuals per hour. Now that we know his inspection rate, we can find out how long it would take him to inspect 7 individuals: - Time required to inspect 7 individuals = Number of individuals to inspect / Rate of inspection - Time = 7 individuals / 2 individuals per hour = 3.5 hours. This calculation aligns with the choice of 3.5 hours, confirming that it would indeed take Officer Hilton that amount of time to inspect 7 individuals if he maintains the same rate as before. Understanding this relationship between time, rate, and quantity is crucial for solving similar problems efficiently in the future.