Final answer:
To find the distance from Park City to Rainey, calculate the speed using the distance and time from Quincy to Park City and then apply this speed to the time taken from Park City to Rainey to get the distance, which is 225 miles.
Step-by-step explanation:
The student is asking how to calculate the distance between Park City and Rainey if Allison drove the same speed from Quincy to Park City as she did from Park City to Rainey, with the time taken being 3 hours and 5 hours, respectively, and the known distance from Quincy to Park City being 135 miles.
To find out the distance from Park City to Rainey, we can use the formula distance = speed × time. However, we first need to calculate the speed at which Allison was traveling from Quincy to Park City. To do this, we divide the distance (135 miles) by the time (3 hours), which gives us a speed of 45 miles per hour.
Once we have the speed, we can calculate the distance from Park City to Rainey by multiplying the speed (45 mph) by the time taken to travel from Park City to Rainey (5 hours), which results in a distance of 225 miles.