Answer: 2.5 hours
Step-by-step explanation:
Given
Distance between A to B town is [tex]d=145\ miles[/tex]
Bus speed is 9 miles per hour faster than car
time taken by car is 2 hours and 54 minutes i.e.
[tex]t=2+\dfrac{54}{60}=2+0.9=2.9\ hr[/tex]
Speed of car is v
[tex]\Rightarrow v=\dfrac{d}{t}=\dfrac{145}{2.9}=50\ mph[/tex]
Speed of bus is [tex]v+8=50+8=58\ mph[/tex]
time taken by bus is t'
[tex]\Rightarrow t'=\dfrac{d}{v+8}=\dfrac{145}{58}=2.5\ hr\\\\\\\Rightarrow t'=2\ hr\ \text{and}\ 30\ \text{minutes}[/tex]
