Question

A hyena can run 1/4 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

40 miles an hour
60 [minutes] * 60 [seconds]= 3600
22.5[seconds for 1/4 of a mile]* 4[ one mile]= 90 [seconds per mile]
3600/90=40 [miles an hour]

Answer 2

If we know the distance someone or something ran and how long it took them to run, then we know their rate.

Because rate can be defined as $\frac{d}{t}$.

We want the answer to be in miles per hour, so convert 22.5 seconds into hours by dividing 22.5 by 3600.

22.5 / 3600 = 0.00625

And because we have a decimal and a fraction, it is best to convert the fraction into a decimal so all units are the same.

1 / 4 = 0.25

Plug in the values.

0.25 / 0.00625 = 40

So, the hyena would be running at 40 mph.