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Ana runs 3/4 miles in 6 minutes, or 1/10 hour. Assuming she runs a constant rate what is er speed, in miles per hour?

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Answer:

Ana runs at a speed of 7.5 miles per hour

Explanation:

Speed

Is the rate at which the distance changes in time.

The formula to calculate the speed is:


\displaystyle v=(d)/(t)

Where d is the distance traveled in time t.

We know Ana runs a distance of d=3/4 miles in 6 minutes, already converted to t=1/10 hours.

Thus, the speed is calculated as follows:


\displaystyle v=((3)/(4))/((1)/(10))

Multiplying by the reciprocal of the denominator:


\displaystyle v=(3)/(4)\cdot (10)/(1)=(30)/(4)

v=7.5 mile/h

Ana runs at a speed of 7.5 miles per hour

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