Answer:
Explanation:
To find the average speed for the round trip, we can use the formula:
average speed = total distance / total time
We know that Steve drives 5 miles to school and 5 miles back home, so the total distance is:
total distance = 5 miles + 5 miles = 10 miles
To find the total time, we need to calculate the time it takes for Steve to drive to school and the time it takes for him to return home. We can use the formula:
time = distance / speed
For the first part of the trip, Steve drives 5 miles at 10 mph, so the time it takes is:
time to school = 5 miles / 10 mph = 0.5 hours
For the second part of the trip, Steve drives 5 miles at 40 mph, so the time it takes is:
time to home = 5 miles / 40 mph = 0.125 hours
The total time for the round trip is the sum of the time to school and the time to home:
total time = time to school + time to home
total time = 0.5 hours + 0.125 hours
total time = 0.625 hours
Now we can calculate the average speed using the formula:
average speed = total distance / total time
average speed = 10 miles / 0.625 hours
average speed = 16 miles per hour (rounded to the nearest integer)
Therefore, Steve's average speed for the round trip is 16 mph.