Final answer:
After eight hours, the car is 40 miles ahead of the bus, as the car travels at 70 miles per hour compared to the bus's 65 miles per hour.
Step-by-step explanation:
The subject of this question is Mathematics, specifically relating to calculating differences in average speeds over a given time period. Given that the charter bus has an average speed of 65 miles per hour, and the car has an average speed of 70 miles per hour, we can calculate the distance each would travel after eight hours and then determine the difference. To find the distance each has traveled after eight hours, we use the formula:
Distance = Speed × Time
- Bus distance = 65 mph × 8 hours = 520 miles
- Car distance = 70 mph × 8 hours = 560 miles
The difference between these distances gives us the distance by which the car is ahead of the bus:
Distance ahead = Car distance - Bus distance = 560 miles - 520 miles = 40 miles.
Therefore, the car is 40 miles ahead of the bus after eight hours.