Answer: 349.5 miles
Step-by-step explanation:
Use the formula distance (d) = rate (r) x time (t):
Since there are two different rates and times so solve each one separately and then add them together.
[tex]\large{d_1=r_1\times t_1\quad \rightarrow \quad r=75\ mph, t=150\ minutes}\\\\d_1=\dfrac{75\ miles}{1\ hour}\times \dfrac{1\ hour}{60\ minutes}\times 150\ minutes\\\\d_1=187.5\ miles\\\\\\\large{d_2=r_2\times t_2\quad \rightarrow \quad r=81\ mph, t=2\ hours}\\\\d_2=\dfrac{81\ miles}{1\ hour}\times 2\ hours\\\\d_2=162\ miles\\\\\\\large{\text{Total miles driven = }d_1+d_2}\\\\187.5\ miles +162\ miles = \boxed{349.5\ miles}[/tex]
