Final answer:
After converting all the given speeds to the same unit, we find that Frank is the fastest at 14.73 feet per second, followed by Katie with 12 feet per second, Jessica with 11.72 feet per second, and Stephanie with 9.31 feet per second.
Step-by-step explanation:
To determine who runs the fastest among Katie, Frank, Stephanie, and Jessica, we must calculate and compare their speeds in a consistent unit, such as feet per second (ft/s) or miles per hour (mph). Katie's speed is already given as 12 feet per second. Frank runs 486 feet in 33 seconds, which calculates to a speed of 486 feet ÷ 33 seconds = 14.73 feet per second.
To compare Stephanie's speed, we convert miles to feet and seconds to hours. Stephanie runs 1 mile in 567 seconds, which is equivalent to 5280 feet in 567 seconds (÷ 60 to get the speed in minutes, then ÷ 60 again for the hourly speed). Thus her speed is 5280 feet ÷ 567 seconds = 9.31 feet per second or approximately 6.34 mph (since one mile per hour is equal to 1.467 feet per second).
Jessica runs 703 feet in 1 minute, equivalent to 703 feet ÷ 60 seconds = 11.72 feet per second.
In conclusion, comparing the speeds, Frank is the fastest runner at 14.73 feet per second followed by Katie, Jessica, and Stephanie.