Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed.
Did they run at the same rate? Explain or show your reasoning.

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Answer:

They did not run at the same speed

Step-by-step explanation:

We can find the unit rate of both runners to determine if they are the same.

Andre: [tex]\frac{15}{2} =7.5[/tex]

Jada: [tex]\frac{20}{3} = 6.67[/tex]

Since[tex]7.5\neq 6.67[/tex], they did not run at the same speed.

More about the unit rate:

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Answer:

They did not run at the same rate

Step-by-step explanation:

To find out if they ran at the same rate, we need to find the rate at which each of them ran per 1 kilometer.

So, let's see how many minutes it takes for Andre to run 1 kilometer.

We just have to divide both 2 and 15 by 2, since that will change the 2 kilometers into 1

2 ÷ 2 = 1

15 ÷ 2 = 7.5

Andre runs 1 kilometer in 7.5 minutes

Now let's do the same for Jada

We have to divide both 3 and 20 by 3 to find how many minutes she ran in one kilometer

3 ÷ 3 = 1

20 ÷ 3 = 6 2/3

6.667 or 6 2/3 is less than 7.5

That means Andre ran faster than Jada

They did not run at the same rate

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