![5\frac{2}{3}\ mph](/tpl/images/0395/2398/74dfe.png)
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
x------> the time in hours
y-----> the distance in miles
s-----> the speed in mph
![s=\frac{y}{x}](/tpl/images/0395/2398/5ee94.png)
In this problem we have
![x=\frac{3}{4}\ hours](/tpl/images/0395/2398/9228e.png)
![y=4\frac{1}{4}\ miles](/tpl/images/0395/2398/9380d.png)
Convert to an improper fraction
![4\frac{1}{4}\ miles=\frac{4*4+1}{4}=\frac{17}{4}\ miles](/tpl/images/0395/2398/19d76.png)
Find the speed
![s=\frac{(17/4)}{(3/4)}=\frac{17}{3}\ mph](/tpl/images/0395/2398/0f949.png)
convert to mixed number
![\frac{17}{3}\ mph=\frac{15}{3}+\frac{2}{3}=5+\frac{2}{3}=5\frac{2}{3}\ mph](/tpl/images/0395/2398/61f6c.png)