Mikaela is competing in a race in which she both runs and rides a bicycle. She runs 5 kilometers in 0.5 hour and rides her bicycle 20 kilometers in 0.8 hour. A. At the rate given, how many kilometers can Mikaela run in 1 hour?
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B. At the rate given, how many kilometers can Mikaela bike in 1 hour?
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c. If Mikaela runs for 1 hour and bikes for 1 hour at the rates given, how far will she travel?
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Mikaela can run 10 kilometers in 1 hour.

Mikaela can bike 25 kilometers in 1 hour.

If Mikaela runs for 1 hour and bikes for 1 hour at the given rates, she will travel a totaldistance of 35 kilometers.

We have,

A.

To find the number of kilometers Mikaela can run in 1 hour, we can set up a proportion using the information given:

5 kilometers / 0.5 hour = x kilometers / 1 hour

Cross-multiplying, we get:

(5 kilometers) x (1 hour) = (0.5 hour) x (x kilometers)

Simplifying:

5 kilometers = 0.5x kilometers

To isolate x, we can divide both sides of the equation by 0.5:

5 kilometers / 0.5 = x kilometers

x = 10 kilometers

B.

Similarly, to find the number of kilometers Mikaela can bike in 1 hour, we can set up a proportion:

20 kilometers / 0.8 hour = x kilometers / 1 hour

Cross-multiplying:

(20 kilometers) x (1 hour) = (0.8 hour) x (x kilometers)

Simplifying:

20 kilometers = 0.8x kilometers

Dividing both sides by 0.8:

20 kilometers / 0.8 = x kilometers

x = 25 kilometers

C.

To find the totaldistance Mikaela will travel if she runs for 1 hour and bikes for 1 hour, we can simply add the distances:

Distance = distance run + distance biked

Distance = 10 kilometers + 25 kilometers

Distance = 35 kilometers

Therefore,

Mikaela can run 10 kilometers in 1 hour.

Mikaela can bike 25 kilometers in 1 hour.

If Mikaela runs for 1 hour and bikes for 1 hour at the given rates, she will travel a totaldistance of 35 kilometers.

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