Answer:
[tex]1\dfrac{1}{8}\ \text{miles per hour}[/tex]
Step-by-step explanation:
D = distance
v = speed
t = time
Distance formula says that
[tex]D=v\cdot t[/tex]
You are given
[tex]D=\dfrac{3}{4}[/tex] miles
[tex]t=\dfrac{2}{3}[/tex] hour
[tex]v[/tex] is unknown.
Substitute them into the distance formula:
[tex]\dfrac{3}{4}=v\cdot \dfrac{2}{3}\\ \\3\cdot \dfrac{3}{4}=2v\ [\text{Multiplied by 3}]\\ \\\dfrac{9}{4}=2v\\ \\v=\dfrac{\frac{9}{4}}{2}\ [\text{Divided by 2}]\\ \\v=\dfrac{9}{4}\cdot \dfrac{1}{2}=\dfrac{9}{8}=1\dfrac{1}{8}\ \text{miles per hour}[/tex]
