Mattie Evans drove 140 miles in the same amount of time that it took a turbo propeller plane to travel 480 miles. The speed of the plane was 170 mph faster than the speed of the car. Find the speed of the plane
Let's call the speed of the car x mph.
Since the turbo propeller plane was 170 mph faster than the car, its speed would be x + 170 mph.
To find the time it took for both the car and the plane to travel their respective distances, we can use the distance formula:
Time = Distance / Speed
For the car:
Time = 140 miles / x mph
For the plane:
Time = 480 miles / (x + 170) mph
Since the time is the same for both the car and the plane:
140 / x = 480 / (x + 170)
To solve this equation, we can cross-multiply:
140(x + 170) = 480x
Distribute:
140x + 23800 = 480x
Subtract 140x from both sides:
23800 = 340x
Divide both sides by 340:
x = 23800 / 340
x ≈ 70
Therefore, the speed of the car is approximately 70 mph.
The speed of the plane is:
70 + 170 = 240 mph.
So, the speed of the plane is 240 mph.