Final answer:
The car's average rate during the second part of the trip is 65 miles per hour, which is calculated by dividing the remaining distance of 390 miles by the remaining travel time of 6 hours.
Step-by-step explanation:
We need to find the average rate of the car during the second part of the trip. We know the total distance of the trip is 520 miles and the total time for the trip is 8 hours. Since the first part of the trip was at 65 miles per hour for 2 hours, the car would have covered 130 miles (65 miles/hour * 2 hours).
We subtract the distance covered in the first part of the trip from the total distance to find the distance covered during the second part of the trip: 520 miles - 130 miles = 390 miles. The remaining time for the second part of the trip is 8 hours - 2 hours = 6 hours.
To find the average speed during the second part of the trip, we divide the remaining distance by the remaining time:
Average rate = Distance / Time = 390 miles / 6 hours = 65 miles per hour.