Answer: 175 miles
Step-by-step explanation:
Formula for distance : [tex]\text{Distance=Speed x Time}[/tex]
Let v denotes the speed ,t denotes the time and d denotes the distance.
According to the given statement , we have
[tex]v_1=30\ mph[/tex] [tex]t_1=0.5\ hours[/tex]
[tex]v_2=80 mph[/tex] [tex]t_2=2\ hours[/tex]
Then, [tex]d_1=v_1 t_1\ \ \ \ d_2=v_2t_2[/tex]
Substitute values,
[tex]d_1=30\times0.5\ \ \ \ d_2=80\times2[/tex]
Simplify,
[tex]d_1=15\ miles\ \ \ \ d_2=160\ miles[/tex]
Now , the total distance = [tex]d_1+d_2[/tex]
[tex]=15+160=175\ miles[/tex]
Hence , he drove 175 miles.
