Using proportions, it is found that it will take him 12 minutes to run one mile.
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering his rate, the rule of three is given by:
8 minutes - 2/3 of a mile
x minutes - 1 mile
Applying cross multiplication, the time is found as follows:
[tex]\frac{2}{3}x = 8[/tex]
2x = 24
x = 12 minutes.
More can be learned about proportions at https://brainly.com/question/24372153
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