Answer :

(60 minutes / 8 km)*(2 km) = 60/4 = 15 minutes

Answer:  15 minutes

Step-by-step explanation:

Given : Tonya runs 8 kilometres in 60 minutes.

We know that the rate of distance covered with respect to time is given by :-

[tex]\dfrac{\text{Distance}}{\text{Time}}[/tex]

Rate of distance covered with respect to time for Tony=[tex]\dfrac{8}{60}[/tex]kilometers per minute

Let t be the time taken by her to run 2 kilometers.

Then, Rate of distance covered  with respect to time =[tex]\dfrac{2}{t}[/tex]

If rate remains the same, then we have

[tex]\dfrac{2}{t}=\dfrac{8}{60}\\\\\Rightarrow\ t=\dfrac{60\times2}{8}=15[/tex]

Hence, it would take 15 minutes to run 2 kilometers.