Final answer:
Paula traveled a total of 402.5 miles, by first covering 227.5 miles at 65 mph for 3.5 hours and then 175 miles at 70 mph for 2.5 hours. The sum of these distances provides the answer, which unfortunately does not match any of the options given in the question.
Step-by-step explanation:
To calculate the total distance Paula traveled, we need to multiply her average speed during each segment of her journey by the time she spent traveling at that speed. For the first segment, Paula traveled at an average speed of 65 miles per hour for 3.5 hours. Therefore, the distance for the first segment is:
Distance = Speed × Time = 65 mph × 3.5 h = 227.5 miles
For the second segment, Paula traveled at an average speed of 70 miles per hour for 2.5 hours. Therefore, the distance for the second segment is:
Distance = Speed × Time = 70 mph × 2.5 h = 175 miles
Adding both segments together gives us the total distance traveled:
Total Distance = Distance of first segment + Distance of second segment
Total Distance = 227.5 miles + 175 miles = 402.5 miles
So, the total distance that Paula traveled during this time is 402.5 miles, which is not one of the options provided in the question. It seems there might have been a typo or error in the choices given.