Verified Answer :

\(6 \frac{1}{2}mi.......2h \\\\ 16\frac{1}{4}mi........x \\\\ \hbox{Introduce the units in the fractions} \\\\\\ \frac{13}{2}mi.........2h \\\\ \frac{65}{4}mi.........x \\\\ \hbox{Solve the proportion obtained:} \\\\ x= \frac{\frac{65}{ ot4} ot mi* ot2h}{\frac{13}{2} ot mi} \\\\ \hbox{Simplify the units of measurement and 4 with 2 } \\\\\\ x=\frac{\frac{65}{2}h}{\frac{13}{2}} \\\\ x= \frac{ ot65}{ ot2}h* \frac{ ot2}{ ot13} \\\\ \hbox{Simplify 65 and 13 throw 13 and 2 with 2} \\\\ \boxed{x=5 \ hours}\)