Answer:
Suzie's speed was 3.6 mph
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
s ----> the speed in mph (miles per hour)
x ----> the distance in miles
y ----> the time in hours
so
[tex]s=\frac{x}{y}[/tex]
Find Suzie's speed
we have
[tex]x=2\frac{2}{5}\ mi[/tex]
[tex]y=\frac{2}{3}\ h[/tex]
substitute
[tex]s=2\frac{2}{5}:\frac{2}{3}[/tex]
Convert mixed number to an improper fraction
[tex]2\frac{2}{5}=2+\frac{2}{5}=\frac{2*5+2}{5}=\frac{12}{5}[/tex]
substitute
[tex]s=\frac{12}{5}:\frac{2}{3}=\frac{36}{10}=3.6\ mph[/tex]