Final answer:
Alejandra needs to drive at a steady speed of 75 miles per hour to reach Cincinnati, which is 450 miles away, in 6 hours.
Step-by-step explanation:
To calculate the rate at which Alejandra needs to drive to cover a distance of 450 miles in 6 hours, we use the formula for speed, which is speed = distance ∕ time. Plugging in the values we have:
Rate = 450 miles ∕ 6 hours = 75 miles per hour.
Therefore, Alejandra needs to drive at a rate of 75 miles per hour to reach Cincinnati in the desired time frame of 6 hours.
This example is similar to understanding that when driving, one has to maintain a consistent average speed to reach their destination within a set amount of time. For instance, in a hypothetical situation, if someone returns from a party and drives 40 kilometers at a steady speed of 80 kilometers per hour, the trip would indeed take 0.5 hours or 30 minutes.
Another illustrative example would be, if a car travels 150 kilometers in 3.2 hours, its average speed, Vavg, would be calculated as 150 km ∕ 3.2 h, which results in an average speed of 46.875 km/h. In practical terms, it's generally rounded off to 47 km/h.