After running for 18 minutes, Julissa completes 2 kilometers. If she is running a 10-kilometer race at a constant pace, then she comletes 1 kilometer after running 9 minutes. Now you can find the distance she run after 1 minute. This is [tex]\dfrac{1}{9}[/tex] km.
Let t be the time in minutes. Then k, the number of kilometers, can be found from proportion:
[tex]\dfrac{1}{9}\ km[/tex] - 1 minute
k km - t minutes.
Thus,
[tex]\dfrac{\dfrac{1}{9}}{k}=\dfrac{1}{t},\\ \\k=\dfrac{1}{9}\cdot t.[/tex]
Answer: [tex]k=\dfrac{1}{9}\cdot t.[/tex]
