Final answer:
To calculate the average rate of speed, convert the time from minutes to hours and divide the distance by the time. The doctor's average rate of speed is approximately 29.33 miles per hour when traveling 22 miles in 45 minutes.
Step-by-step explanation:
To calculate the doctor's average rate of speed, we need to use the formula for average speed, which is the total distance traveled divided by the total time taken. In this case, the doctor travels a distance of 22 miles in 45 minutes. First, we need to convert the time from minutes to hours to match the distance in miles.
The conversion is as follows:
45 minutes × (1 hour / 60 minutes) = 0.75 hours
Now, we can calculate the average speed:
Average speed = distance/time
= 22 miles / 0.75 hours
= 29.33 miles per hour (rounded to two decimal places)
Therefore, the doctor's average rate of speed is approximately 29.33 miles per hour.