An athlete runs 4 miles in 28 minutes and then changes pace to run the next 4 miles in 32 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?
The athlete's average time to run 1 mile is 7.5 minutes.
The total distance run by the athlete is 8 miles (4 miles + 4 miles) and the total time spent running is 60 minutes (28 minutes + 32 minutes). To find the average time per mile, we divide the total time by the total distance, which gives us 7.5 minutes per mile.
This is the correct answer. The total time for the athlete to run 8 miles was 60 minutes. By dividing 60 minutes by 8 miles, we get an average of 7.5 minutes per mile.
This answer would be true if the total time to run 8 miles was 56 minutes. However, the athlete took 60 minutes to run 8 miles, so this answer is incorrect.
This answer would be true if the total time to run 8 miles was 68 minutes. However, the athlete took 60 minutes to run 8 miles, so this answer is incorrect.
This answer would be true if the total time to run 8 miles was 64 minutes. However, the athlete took 60 minutes to run 8 miles, so this answer is incorrect.
To calculate the average time per mile, the total time spent running is divided by the total distance covered. In this case, the athlete ran 8 miles in 60 minutes. When we divide 60 minutes by 8 miles, we get 7.5 minutes per mile, making option A the correct answer. The other options are incorrect as they do not represent the correct calculation of the total time divided by the total distance.
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