Final answer:
To find the rate in miles per hour for a distance of 513 miles in 712 minutes, convert the time to hours (712 minutes is about 11.87 hours) and divide the distance by time to get an average speed of approximately 43.2 miles per hour.
Step-by-step explanation:
To find the rate in miles per hour, we need to convert the time from minutes to hours and then divide the distance by the time. The student needs to travel 513 miles in 712 minutes.
- First, convert minutes to hours. Since there are 60 minutes in one hour, we divide 712 minutes by 60 to get the time in hours:
- 712 minutes ÷ 60 minutes/hour = 11.87 hours
- Now, calculate the average speed by dividing the total distance by the total time in hours:
- 513 miles ÷ 11.87 hours ≈ 43.2 miles per hour
The average speed for this trip is approximately 43.2 miles per hour. We can check if this answer is reasonable by understanding that the speed is neither too high nor too low for a typical vehicle on a long journey.