Final answer:
To find out who is faster, calculate each runner's speed. Elvis runs at 5 mph, while Lucy runs at 7 mph. Thus, Lucy is faster than Elvis.
Step-by-step explanation:
To determine who is the fastest between Elvis and Lucy, we need to calculate their running speeds. Speed is given by distance divided by time. Let's calculate the speed for each runner.
Elvis's speed is 5/6 miles divided by 1/6 hour. This equals 5 miles per hour (5 mph).
Lucy's speed is 7/8 miles divided by 1/8 hour. This equals 7 miles per hour (7 mph).
Comparing the two speeds, Lucy runs faster than Elvis since 7 mph is greater than 5 mph.