It will take Joseph 12minutes to run 1 mile
Speed is defined as the ratio of the distance covered to the time taken.
If Joseph runs 2/3 of a mile in 8 minutes, then;
[tex]\frac{2}{3} miles = 8minutes[/tex]
In order to calculate the time it will take Joseph to run 1 mile, we can write:
[tex]1mile=x[/tex]
Divide both expressions
[tex]\dfrac{\frac{2}{3} }{1} =\dfrac{8}{x} \\\dfrac{2}{3}=\dfrac{8}{x}[/tex]
Cross multiply
[tex]2x=3 \times 8\\2x=24\\x=\frac{24}{2} \\x=12minutes[/tex]
This shows that it will take Joseph 12minutes to run 1 mile.
Learn more here: https://brainly.com/question/23774048
