Verified 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 :-

\(\dfrac{\text{Distance}}{\text{Time}}\)

Rate of distance covered with respect to time for Tony=\(\dfrac{8}{60}\)kilometers per minute

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

Then, Rate of distance covered  with respect to time =\(\dfrac{2}{t}\)

If rate remains the same, then we have

\(\dfrac{2}{t}=\dfrac{8}{60}\\\\\Rightarrow\ t=\dfrac{60\times2}{8}=15\)

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