Final answer:
The stunt driver's one-way distance to the Hollywood site is calculated to be 360 miles, by setting up an equation with their average speeds and total travel time. The round trip distance is therefore 720 miles.
Step-by-step explanation:
To find the round trip distance that the stunt driver travels to and from a Hollywood site, we can use the formula for average speed, which is total distance divided by total time. Given an average speed of 180 mph for the trip to the site and 120 mph for the return trip, and knowing that the total flying time is 5 hours, we can set up two equations to solve for the total distance.
Let d represent the one-way distance to the Hollywood site.
The time to go to the site is d/180 hours.
The time to return from the site is d/120 hours.
Since the total time for the round trip is 5 hours, we can write the equation:
d/180 + d/120 = 5
To solve this equation, we find a common denominator for the fractions, which is 360. The equation becomes:
2d + 3d = 1800
Simplifying, we get:
5d = 1800
Dividing both sides by 5 gives us:
d = 360 miles
So, the one-way distance to the Hollywood site is 360 miles. The round trip distance is twice this amount, which is:
720 miles
Therefore, the correct answer is (b) 720 miles.