Answer:
walking speed= 4mph jogging speed =6 mph
Step-by-step explanation:
We are asked to find Lorena’s walking speed and jogging speed. Let’s let r represent Lorena’s walking speed in miles per hour and t represent time in hours. In 30min=1/2hr, she walks a distance rt=r/2 miles. Since her jogging speed is 2 miles per hour faster, we represent that as r+2. In 20min=1/3hr, she jogs a distance (r+2) t=r+2/3 miles. We can set these expressions for the distance around the park equal to find
r/2 = r+2/3
Multiplying both sides by 6 and then subtracting 2r from both sides yields
6 (r/2) = 6 (r+2/3)
3r = 2r +4
3r−2r = 2r + 4 -2r
r = 4
Thus, Lorena’s walking speed is r = 4 miles per hour and her jogging speed is r+2=6 miles per hour.
