Final answer:
The F-100 plane was traveling at 150 mph, which is 100 mph faster than the Toyota truck which was traveling at 50 mph.
Step-by-step explanation:
To determine how much faster the F-100 plane was traveling than the Toyota truck, we can start by finding their respective speeds. Since the plane arrived in 3 hours on a 450-mile trip, its speed was 450 miles divided by 3 hours, which is 150 miles per hour (mph).
As the truck arrived in 9 hours, its speed was 450 miles divided by 9 hours, giving us 50 mph. Since we are told that the plane's speed is three times the speed of the truck, this aligns with our calculations (50 mph x 3 = 150 mph).
The difference in their speeds is the speed of the plane minus the speed of the truck, which is 150 mph - 50 mph, resulting in the plane traveling 100 mph faster than the truck.
Given that the distance traveled by both the plane and the truck is 450 miles, we can use the formula time = distance / speed to find the time taken by each.
The time taken by the plane is 3 hours, so we have:
3 hours = 450 miles / (3x mph)
Simplifying the equation, we get:
x = 50 mph
The speed of the plane is 3 times the speed of the truck, so the speed of the plane is 3 * 50 = 150 mph.
Therefore, the plane was traveling 100 mph faster than the truck.