Austin is participating in a 30k race. He runs at an average speed of 10 kilometers per hour and walks at an average speed of 6 kilometers per hour. He wants to complete the race in 4 hours. Let x represent the number of hours he runs. Let y represent the number of hours he walks.

What equation in standard form relates x and y to the goal of covering 30 kilometers? (no spaces) ​

Respuesta :

Using the relation between velocity, distance and time, the equation that relates x and y is given by:

x + y - 3 = 0.

What is relation between velocity, distance and time?

Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

In this problem, he wants to run 30 km at a rate of 10 km per hour, hence:

[tex]10 = \frac{30}{t}[/tex]

10t = 30

t = 3.

The total time is 3 hours. Considering x as the number of hours he runs and y the number of hours he walks, along with the total time, the equation is given by:

x + y = 3.

In standard form:

x + y - 3 = 0.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

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