Answer:
The hyena runs 40 miles per hour.
Step-by-step explanation:
We know that the hyena runs a distance of
[tex]d=\frac{1}{4} mi[/tex]
In a period of time of
[tex]t=22.5sec[/tex]
However, the problem is asking for a speed in hours. We have to transform from 22.5 seconds to hours
[tex]t=22.5sec\frac{1hr}{3600sec}=0.00625hr[/tex]
Now, the relation of the movement is
[tex]d=st[/tex] ; Where [tex]d[/tex] is the distance covered, [tex]t[/tex] the times the hyena took to covered that distance and [tex]s[/tex] the speed.
This is the equation we can used to find how fast the hyena runs.
Now, using given values and solving for [tex]s[/tex]
[tex]d=st\\s=\frac{d}{t}\\ \\s=\frac{\frac{1}{4}mi}{0.00625hr}\\\\s=\frac{1}{0.025}mi/hr=40 mi/hr[/tex]
Therefore, the hyena runs 40 miles per hour.
