Question

The fastest recorded speed for an eastern gray kangaroo is 40 miles per hour. What is the kangaroo's speed in feet per second?

Answer 1

hello

to solve this question, we need to familiarize ourselves with basic unit conversions.

`1\text{miles}=5280ft`
`\begin{gathered} 1\text{hour}=3600s \\ \text{note: 1 hr = 60mins } \\ 1\min =60\sec \\ \text{cross multiply and you'll get } \\ 1hr=60*60=3600\sec \end{gathered}`

If 1 miles = 5280ft, how many feet would be in 40 miles

`\begin{gathered} 1miles=5280ft \\ 40\text{miles}=\text{ x ft} \\ \text{cross multiply and make x the subject} \\ x=(40*5280)/(1) \\ x=211,200ft \end{gathered}`

so, now we have 211,200ft/3600s

we can simply divide both to get our answer in ft/s

`\begin{gathered} (ft)/(s)=(211200)/(3600) \\ 58.67\text{ ft/s} \end{gathered}`

the kangaroo's speed is 58.67ft/s