Answer :

2km/12min = 5km/xmin

5 * 12 = 2 * x
60 = 2x
x = 30 min

The time is taken to complete 5 kilometers in 30 minutes.

Given that

You jog 2 kilometers in 12 minutes.

We have to determine

At this rate, how long will it take you to complete a 5-kilometer race, when using ratios and rates.

According to the question

Let the time taken to complete 5 kilometers be x.

You jog 2 kilometers in 12 minutes.

Then,

The ratio using the find the time taken to complete 5 kilometers is,

[tex]\rm \dfrac{x}{5} = \dfrac{12}{2}\\\\x = \dfrac{5 \times 12}{2}\\\\x = \dfrac{60}{2}\\\\x = 30 \ minutes[/tex]

Hence, the time is taken to complete 5 kilometers in 30 minutes.

To know more about Equation click the link given below.

https://brainly.com/question/14528220