Answer:
342.5 miles
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* time](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fv2bldixulqlp3tbhpqxl3n989k4v1jatz.png)
Now, when speed is
and time 3.5 hours, then distance is:
![d_(1)=55* 3.5=192.5\textrm{ mi}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/le8m25re2xwttu2aageerisjqec2do6z2p.png)
Again, for speed equal to
and time equal to 2.5 hours, distance is:
![d_(2)=60* 2.5=150\textrm{ mi}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lmuwfpzqnoim3ykwsz4ky3txy8th7pev2i.png)
Therefore, total distance traveled is:
.
Therefore, Perry traveled
during this time.