A hyena can run one over four of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in miles per hour?
(1/4) / 22.5 = x/3600
22.5x = 3600/4
22.5x = 900
x = 900/22.5
x = 40 miles per hr
Answer:
Step-by-step explanation:
We know that the hyena runs a distance of
\(d=\frac{1}{4} mi\)
In a period of time of
\(t=22.5sec\)
However, the problem is asking for a speed in hours. We have to transform from 22.5 seconds to hours
\(t=22.5sec\frac{1hr}{3600sec}=0.00625hr\)
Now, the relation of the movement is
\(d=st\) ; Where \(d\) is the distance covered, \(t\) the times the hyena took to covered that distance and \(s\) the speed.
This is the equation we can used to find how fast the hyena runs.
Now, using given values and solving for \(s\)
\(d=st\\s=\frac{d}{t}\\ \\s=\frac{\frac{1}{4}mi}{0.00625hr}\\\\s=\frac{1}{0.025}mi/hr=40 mi/hr\)
Therefore, the hyena runs 40 miles per hour.