Problema Solution

mattie drove 120 miles in the same amount of time it took a plane to travel 690 miles. the speed of the plane was 190 mph faster than the speed of the car. find the speed of the plane

Answer provided by our tutors

let


p = the speed of the plane

c = the speed of the car


the speed of the plane was 190 mph faster than the speed of the car


p = 190 + c


Mattie drove 120 miles in the same amount of time it took a plane to travel 690 miles


we will use the formula speed = distance/time => time = distance/speed


120/c = 690/p cross multiply


120p = 690c


by solving the system of equations


p = 190 + c

120p = 690c


we find


c = 40 mph


p = 230 mph


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the speed of the plane is 230 mph.