Jessica traveled to Portland by car. Going there took 3 hours, and the return trip lasted 6 hours. Jessica averaged a speed of 43mph while returning. Find the average speed of the trip there

Respuesta :

Answer:

The average speed of the trip there is 86 mph.

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:

[tex]D=speed\times time=43\times 6=258\ miles[/tex]

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:

[tex]\textrm{Average speed}=\frac{Distance}{Time}\\\textrm{Average speed}=\frac{258}{3}=86\ mph[/tex]

Therefore, the average speed of Jessica's car to go to Portland is 86 mph.