Respuesta :
Answer:
342.5 miles
Step-by-step explanation:
Given:
Average speed for 3.5 hours = 55 miles per hour
Average speed for 2.5 hours = 60 miles per hour
Distance is given as the product of average speed and time taken.
So, distance, [tex]d[/tex], is given as:
[tex]d=speed\times time[/tex]
Now, when speed is [tex]55\textrm{ mi/h}[/tex] and time 3.5 hours, then distance is:
[tex]d_{1}=55\times 3.5=192.5\textrm{ mi}[/tex]
Again, for speed equal to [tex]60\textrm{ mi/h}[/tex] and time equal to 2.5 hours, distance is:
[tex]d_{2}=60\times 2.5=150\textrm{ mi}[/tex]
Therefore, total distance traveled is:
[tex]d=d_{1}+d_{2}\\d=192.5+150=342.5\textrm{ mi}[/tex].
Therefore, Perry traveled [tex]342.5\textrm{ mi}[/tex] during this time.