Answer:
The average speed was [tex]40\frac{2}{3}\ \frac{miles}{hour}[/tex]
Step-by-step explanation:
we know that
To find out the average speed , divide the distance by the time
Let
x -----> the distance in miles
y ----> the time in hours
s ----> the speed
so
[tex]s=\frac{x}{y}[/tex]
we have
[tex]x=183\ miles[/tex]
[tex]y=4\frac{1}{2}\ hours=\frac{4*2+1}{2}=\frac{9}{2}\ hours[/tex]
substitute
[tex]s=\frac{183}{(9/2)}[/tex]
[tex]s=\frac{366}{9}\frac{miles}{hour}[/tex]
Convert to mixed number
[tex]\frac{366}{9}=\frac{360}{9}+\frac{6}{9}=40\ \frac{2}{3}\frac{miles}{hour}[/tex]
