Answer:
[tex]unit \: rate = \frac{distance}{time} [/tex]
unit rate is similar to speed / velocity:
[tex]unit \: rate = \frac{ (\frac{1}{2} )}{ (\frac{1}{3})} \\ \\ = \frac{1}{2} \div \frac{1}{3} \\ \\ = \frac{1}{2} \times \frac{3}{1} \\ \\ = > { \boxed{ \boxed{unit \: rate = \frac{3}{2} \: miles \: per \: hour}}}[/tex]
[unit rate must have units including per <time> ]