distance = rate*time
Katrina walks for one hour before Carla catches up with her, so the distance Katrina traveled is:
distance = (4 mph)*(1 hour) = 4 miles
Since Carla catches up with Katrina at 10 am, she jogs the same distance (4 miles) in 1/2 hour:
distance = rate*time
4 miles = rate*(0.5 hours)
(4 miles)/(0.5 hour) = rate
8 mph = Carla's jogging rate