Answer:
The average speed of the trip there is <u>86 mph.</u>
Step-by-step explanation:
Given:
Time taken to reach Portland = 3 hours
Time taken to come beck from Portland = 6 hours
Average speed for the returning trip = 43 mph
Distance traveled for the returning trip can be obtained by multiplying the returning speed by returning time. Therefore, distance for returning trip is:
![D=speed\times time=43\times 6=258\ miles](https://tex.z-dn.net/?f=D%3Dspeed%5Ctimes%20time%3D43%5Ctimes%206%3D258%5C%20miles)
Now, distance traveled for the return trip is same as going to the trip.
So, distance traveled by Jessica going to Portland = 258 miles.
Time taken to go there = 3 hours
Therefore, speed of the trip there is given as the ratio of distance and time and is given as:
![\textrm{Average speed}=\frac{Distance}{Time}\\\textrm{Average speed}=\frac{258}{3}=86\ mph](https://tex.z-dn.net/?f=%5Ctextrm%7BAverage%20speed%7D%3D%5Cfrac%7BDistance%7D%7BTime%7D%5C%5C%5Ctextrm%7BAverage%20speed%7D%3D%5Cfrac%7B258%7D%7B3%7D%3D86%5C%20mph)
Therefore, the average speed of Jessica's car to go to Portland is 86 mph.