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Answer:

She can run [tex]\frac{82}{9}* \frac{miles}{hour}[/tex]

Step-by-step explanation:

It is required to estimate the velocity of Debra.

Debra can run 20 1/2 miles. It means d = 20 1/2 miles = 41/2 miles.

Debra runs the distance previously presented in 2 1/4 hours.

It means t = 2 1/4 hours = 9/4 hours.

Now, we have the distance (d), and the time requiered (t) in which Debra can run. Finally, to calculate the velocity we need to divide the distance by the time.

[tex]v = \frac{d}{t}\\\\v =\frac{\frac{41}{2}}{\frac{9}{4}} = \frac{41*4}{2*9}=\frac{82}{9}\\v =\frac{82}{9} \frac{miles}{hour}[/tex]

Debra can run 82/9 miles per hour.

Based on the distance that Debra is able to run and the time she can run it in, her speed is 9.1 miles per hour

It would be best to convert this to decimals first.

20 ¹/₂ miles = 20.5 miles

2¹/₄ miles = 2.25 miles

Her speed would be:

= Distance / Time

= 20.5 / 2.25

= 9.1 miles per hour

In conclusion, Debra can run 9.1 miles per hour

Find out more on speed and distance at https://brainly.com/question/4729105.

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