Question

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?

Answer 1

(1/4) / 22.5 = x/3600
22.5x = 3600/4
22.5x = 900
x = 900/22.5
x = 40 miles per hr

Answer 2

Answer:

The hyena runs 40 miles per hour.

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.