Marina can bicycle 19.5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run?


Distance (mi)
Rate (mph)
Time (hr)
Bicycling
19.5
r + 9
StartFraction 19.5 Over r + 9 EndFraction
Running
6
r
StartFraction 6 Over r EndFraction
4 mph
5 mph
9 mph
13 mph

Respuesta :

The speed that marina can run from the given parameters is; 4 miles per hour

How to Solve Algebraic Problems?

Let x be Marina's speed running.

Marina's speed biking is x + 9.

Thus, the time she spent is calculated as;

19.5/(x + 9) = 6/x

Cross Multiply to get;

19.5x = 6(x + 9)

19.5x = 6x + 54

Solving this gives;

x ≈ 4 mph

Thus, Marina can run at a speed of 4 miles per hour.

Read more about Algebraic Problems at; https://brainly.com/question/1491745

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4 miles per hour:A

Step-by-step explanation:

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