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Mattie Evans drove 250 miles in the same amount of time that it took a turbo propeller 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.

User Roanna
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1 Answer

3 votes

Answer:

250 mph

Explanation:

Speed of car = Distance / Time =

The speed of the plane was 200 mph faster than the speed of the car.

Speed of car = X mph

Speed of plane = 200 + X mph

Evans drove 250 miles in the same amount of time...

Speed = Distance / Time

Time = Distance / Speed

T = 250 / X ........(i)

same amount of time that it took a turbo propeller plane to travel 1250 miles.

Time = Distance / Speed

T = 1250 / (200 + X) .......(ii)

Substitute the value of T in eqn (i) to eqn (ii)

250 / X = 1250 / (250 + X)

250 (200 + X) = 1250 X

50000 + 250 X = 1250 X

1250 X - 250 X = 50000

1000X = 50000

X = 50000 / 1000 = 50

Speed of plane = 200 + X mph = 200 + 50 = 250 mph

User Trozen
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