Final answer:
Roger drove a total of 64 miles after driving for 30 minutes at 60 mph and 45 minutes at 45 mph, rounding to the nearest mile.
Step-by-step explanation:
To calculate how far Roger drove, we can use the formula distance = speed × time. Since time is given in minutes, we first need to convert it into hours. For the first part of the trip, Roger drove for 30 minutes, which is 0.5 hours (30 minutes / 60 minutes). The distance he covered at 60 miles per hour for 0.5 hours is 30 miles (60 mph × 0.5 hours). For the second part of the trip, Roger drove for 45 minutes, which is 0.75 hours (45 minutes / 60 minutes). The distance he covered at 45 miles per hour for 0.75 hours is 33.75 miles (45 mph × 0.75 hours). To find the total distance traveled, we add the two distances together: 30 miles + 33.75 miles = 63.75 miles. Since we need to round to the nearest mile, the answer is 64 miles total distance driven.