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A runner wants to run 12.8 km . She knows that her running pace is 7.1 mi/h .

How many minutes must she run? Hint: Use 7.1 mi/h as a conversion factor between distance and time.

2 Answers

6 votes

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.

User Zorza
by
8.0k points
2 votes
67.2 minutes

First convert the runner's speed from mi/h to km/h by multiplying by 1.60934 km/mi, giving 7.1 mi/h * 1.60934 km/mi = 11.43 km/h Divide the distance by her speed. 12.8 km / (11.43 km/h) = 1.12 h Convert hours to minutes by multiplying by 60 1.12 h * 60 min/h = 67.2 min
User Mpobrien
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7.3k points