Answer:
200mph
Explanation:
Speed is expressed using the expression
Speed = Distance/Time
For Mattie
Distance = 200miles
Speed = x
Time taken by mattie = Distance/speed
Time taken by mattie = 200/x ... 1
For the propeller plane:
Distance = 800miles
Speed = x+150 (The speed of the plane was 150 mph faster than the speed of the car)
time taken by the plane = 800/x+150
Since Mattie took the same amount of time that it took a turbo propeller plane to travel, then we will equate both expressions as shown:
200/x = 800/150+x
Cross multiply
800x = 200(150+x)
800x = 30,000 + 200x
800x-200x = 30,000
600x = 30,000
x = 30,000/600
x = 50
Get the speed of the plane
Since the speed of the plane is 150+x
Speed of the plane = 150+50
Speed of the plane = 200mph