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,
, is given as:
![d=speed\times time](https://tex.z-dn.net/?f=d%3Dspeed%5Ctimes%20time)
Now, when speed is
and time 3.5 hours, then distance is:
![d_{1}=55\times 3.5=192.5\textrm{ mi}](https://tex.z-dn.net/?f=d_%7B1%7D%3D55%5Ctimes%203.5%3D192.5%5Ctextrm%7B%20mi%7D)
Again, for speed equal to
and time equal to 2.5 hours, distance is:
![d_{2}=60\times 2.5=150\textrm{ mi}](https://tex.z-dn.net/?f=d_%7B2%7D%3D60%5Ctimes%202.5%3D150%5Ctextrm%7B%20mi%7D)
Therefore, total distance traveled is:
.
Therefore, Perry traveled
during this time.