Erik drives 19.2 miles in 16 minutes.
He passes a sign which gives the speed limit as 65 mph.
By how much, in mph, did Erik's average speed exceed the speed limit?​

Respuesta :

Answer:

Erik's average speed exceeds the speed limit by 6.91 miles per hour.

Step-by-step explanation:

Let suppose that Erik travels at constant speed. Hence, the speed ([tex]v[/tex]), measured in miles per hour, is determined by following equation of motion:

[tex]v = \frac{s}{t}[/tex] (1)

Where:

[tex]s[/tex] - Distance, measured in miles.

[tex]t[/tex] - Time, measured in hours.

Please notice that a hour equals 60 minutes. If we know that [tex]s = 19.2\,mi[/tex] and [tex]t = 0.267\,h[/tex], then the speed of Erik is:

[tex]v = \frac{19.2\,mi}{0.267\,h}[/tex]

[tex]v = 71.910\,\frac{mi}{h}[/tex]

Which is 6.91 miles per hour above the speed limit.