Final answer:
After calculating the speed for both Brook and Joshua, Brook is found to be traveling at 14 miles per hour, whereas Joshua is traveling at 12.5 miles per hour, making Brook the faster biker.
Step-by-step explanation:
To determine which biker is traveling at a faster rate, we need to calculate the speed of both Brook and Joshua. Speed is calculated by dividing the distance traveled by the time taken to travel that distance. We convert time to hours for consistency:
- Brook: 7 miles / (30 minutes / 60 minutes per hour) = 7 miles / 0.5 hours = 14 miles per hour.
- Joshua: 25 miles / 2 hours = 12.5 miles per hour.
Comparing the speeds, we see that Brook is traveling at a faster rate than Joshua.