contestada

Mila jogged 4.6 miles in 48 minutes. If she jogged at a constant rate, what was her jogging speed?

Respuesta :

5.75 miles per hour. 

Answer:

[tex]5.75\frac{miles}{hour}[/tex] or [tex]5\frac{3}{4}\frac{miles}{hour}[/tex]

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s------> the speed in miles per minute

y------> the distance in miles

x-------> the time in minutes

so

[tex]s=\frac{y}{x}[/tex]

In this problem we have

[tex]y=4.6\ miles[/tex]

[tex]x=48\ minutes[/tex]

substitute    

[tex]s=\frac{4.6}{48}=0.0958\frac{miles}{minute}[/tex]

Convert to miles per hour

[tex]0.0958\frac{miles}{minute}=0.0958*60=5.75\frac{miles}{hour}[/tex]

Convert to mixed number

[tex]5.75\frac{miles}{hour}=5+0.75=5\frac{3}{4}\frac{miles}{hour}[/tex]