Final answer:
The student's overall average speed for the 2 hours is 11 km/h, calculated by dividing the total distance of 22 km by the total time of 2 hours.
Step-by-step explanation:
To calculate the average speed of the student for the 2 hours, we need to find the total distance traveled and divide it by the total time. In the first 1.5 hours (which is the first half of the 2 hours), the student runs at 10 km/h, and in the second 0.5 hours, she runs a distance of 7 km.
First, let's calculate the distance she runs in the first 1.5 hours:
- Distance = Speed × Time = 10 km/h × 1.5 hours = 15 km
She runs 7 km in the remaining 0.5 hours, so the total distance is:
- Total distance = 15 km + 7 km = 22 km
The total time is 2 hours, so her average speed for the entire run is:
- Average speed = Total distance / Total time = 22 km / 2 hours = 11 km/h
Thus, the student's overall average speed for the 2 hours is 11 km/h.