Final answer:
Aria's speed is 7.5 miles per hour. We determined this by setting up a proportion between the distance she runs in 6 minutes and what she would run in 60 minutes, connecting to the reference data on runner speeds.
Step-by-step explanation:
To calculate Aria's speed in miles per hour (mph), we first need to determine how far she runs in one hour at her current pace. Aria runs 3/4 mile in 6 minutes, so to find out how far she would run in 60 minutes (1 hour), we set up a proportion:
Distance (in miles): 3/4 = x
Time (in minutes): 6 = 60
Cross-multiplying to solve for x gives us:
6x = (3/4) * 60
x = (3/4 * 60) / 6
x = 7.5
Therefore, Aria runs at a speed of 7.5 miles per hour. This makes sense because in the reference information provided, 40 percent of runners ran at speeds of 7.5 miles per hour or less (slower), and 60 percent of runners ran at speeds of 7.5 miles per hour or more (faster), placing Aria at this dividing speed among runners.