177.94miles
From the question, distance is directly proportional to the time taken. Mathematically;
[tex]\begin{gathered} d\alpha t \\ d=kt \\ k=\frac{d}{t} \end{gathered}[/tex]where:
d is the distance traveled
t is the time
If the bus travel's at an average speed of 65.1 miles in 3 hours in the city, the variation constant "k" is calculated as;
[tex]\begin{gathered} k=\frac{65.1\text{miles}}{3\text{hours}} \\ k=\frac{21.7mi}{hr} \end{gathered}[/tex]In order to determine how far could the bus travel in 8.2 hours
[tex]\begin{gathered} d=kt \\ d=\frac{21.7miles}{\cancel{hr}}\times8.2\cancel{\text{hrs}} \\ d=177.94\text{miles} \end{gathered}[/tex]Therefore the bus can travel for 177.94miles in 8.2hours
