a blue whale calf swam from Miami, Florida, to Havana, Cuba, a distance of 228 miles, in 12 hours 22 minutes. Which is closest to the calf's average rate of speed, in feet per hour?

Respuesta :

Answer: [tex]97,346\ \frac{ft}{hr}[/tex]

Step-by-step explanation:

You need to make the conversion from  miles to feet. Since:

[tex]1\ mi=5,280\ ft[/tex]

You get:

[tex](228\ mi)(\frac{5,280\ ft}{1\ mi})=1,203,840\ ft[/tex]

Convert 22 minutes to hours.

Since:

[tex]1\ hr=60\ min[/tex]

You get:

[tex](22\ min)(\frac{1\ hr}{60\ min})=0.3666\ hr[/tex]

Therefore, the time in hours is:

[tex]t=12\ hr+0.3666\ hr=12.3666\ hr[/tex]

Now you must use the following formula:

[tex]V=\frac{d}{t}[/tex]

Where "V" is the speed, "d" is distance and "t" is time.

You can identify that, in this case:

[tex]d=1,203,840\ ft\\\\t=12.3666\ hr[/tex]

Therefore, substituting values into the formula, you get:

[tex]V=\frac{1,203,840\ ft}{12.3666\ hr}\\\\V=97,346.07\ \frac{ft}{hr}\\\\V\approx97,346\ \frac{ft}{hr}[/tex]