Final answer:
Braxton's running speed is 25 mph.
Step-by-step explanation:
To find Braxton's running speed, we need to determine the distance he covers in one lap and the time it takes for him to complete it. Given that the circular running track is 1/4 mile long and Braxton completes each lap in 1/20 of an hour, we can calculate his running speed.
To calculate the distance Braxton covers in one lap, we multiply the length of the track (1/4 mile) by the number of laps. Since he completes one lap per 1/20 of an hour, the number of laps is 1 divided by 1/20, which is 20. Therefore, the distance covered in one lap is 1/4 * 20 = 5/4 miles.
Now, to find Braxton's running speed, we divide the distance covered in one lap (5/4 miles) by the time it takes to complete one lap (1/20 of an hour). Dividing 5/4 by 1/20 gives us a running speed of 25 miles per hour. So, Braxton's running speed is 25 mph.