Asked by MARIAH

Mattie Evans drove 250 miles in the same amount of time that it took a turbopropeller plane to travel 1250 miles. The speed of the plane was 200 mph faster than the speed of the car. Find the speed of the plane
Answered by Daneeka
its 450 mph
Answered by PsyDAG
Speed = distance/time

time = distance/speed

Let x = plane speed and y = driving speed

y = x + 200

250/x = 1250/y

Substitute x + 200 for y in second equation and solve for x. Insert that value into the first equation and solve for y. Check by inserting both values into the second equation.
Answered by Henry
Car speed = X-mi/h,
Plane speed = (X + 200) mi/h,

Eq1: d1 = X*t = 250 mi,
t = 250 / X,

Eq2: d2 = (X + 200)t = 1250 mi.

Substitute 250 / X for t in Eq2:
(X + 200)250/X = 1250,
250 + 50000/X = 1250,
50000 / X = 1250 - 250,
50000 / X = 1000,
Cross multiply:
1000X = 50000,

X = 50000 / 1000 = 50 mi/h = car speed.
(X + 200) = 250 mi/h = plane speed.

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