Respuesta :

Answer:

[tex]6\frac{2}{3}\ min[/tex]

Step-by-step explanation:

we know that

Jafar runs 1/4 of a mile in 1 2/3 minutes

so

using proportion

Find out how long in minutes will it take him to run on mile

but first convert mixed number to an improper fraction

[tex]1\frac{2}{3}\ min=\frac{1*3+2}{3}=\frac{5}{3}\ min[/tex]

Let

x ----> the time in minutes to run one mile

[tex]\frac{(1/4)}{(5/3)}\ \frac{mi}{min}=\frac{1}{x}\ \frac{mi}{min}\\\\x=\frac{5}{3}:\frac{1}{4}\\\\x=\frac{20}{3}\ min[/tex]

Convert to mixed number

[tex]\frac{20}{3}\ min=\frac{18}{3}+\frac{2}{3}=6\frac{2}{3}\ min[/tex]