Let's break down the problem step by step to determine the average speed Aidan drives home.
1. Determine the time taken to drive to school:
- The distance to school is 16 miles.
- He averages a speed of 40 miles per hour to school.
- Time taken to drive to school = distance / speed = [tex]\( \frac{16}{40} \)[/tex] hours = 0.4 hours.
2. Calculate the remaining time for the trip home:
- The total trip (to school and back) takes 1 hour.
- Time taken for the trip to school is 0.4 hours.
- Therefore, the time taken to drive home = total trip time - time to school = 1 hour - 0.4 hours = 0.6 hours.
3. Determine the average speed driving home:
- The distance home is also 16 miles.
- The time taken to drive home is 0.6 hours.
- Average speed for the trip home = distance / time = [tex]\( \frac{16}{0.6} \)[/tex] miles per hour = 26.67 miles per hour (approximately).
Thus, the average speed at which Aidan drives home is around 27 miles per hour.
The correct answer is:
- 27 mph
