To be able to compare the speeds of Hanley and Maxwell you have to convert the values in the same units, in this case, miles per hour.
You can unse cross multiplication for this.
Hanley
1/6hour____3/4mile
1hour_____xmiles
[tex]x=\frac{1\cdot\frac{3}{4}}{\frac{1}{6}}=\frac{3}{4}\cdot6=\frac{9}{2}[/tex]Hanley runs 4.5miles/hour
Maxwell
2/15hour____2/3miles
1 hour_____xmiles
[tex]x=\frac{1\cdot\frac{2}{3}}{\frac{2}{15}}=\frac{2}{3}\cdot\frac{15}{2}=\text{ 5}[/tex]Maxwell runs 5 miles/hour
Maxwel runs faster than Hanley.