Final answer:
The runner must run approximately 67.28 minutes to cover a distance of 12.8 km at a pace of 7.1 mi/h.
Step-by-step explanation:
To find the total time the runner must run, we can use the conversion factor provided. Since the runner's pace is 7.1 mi/h, we can convert this to km/h by multiplying it by the conversion factor 1 mi = 1.609 km. Therefore, 7.1 mi/h * 1.609 km/mi = 11.4329 km/h. To find the time in minutes, we divide the total distance by the speed, 12.8 km / 11.4329 km/h = 1.1214 hours. Finally, we convert hours to minutes by multiplying by 60, so the runner must run for approximately 67.28 minutes to cover a distance of 12.8 km.