Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles. The speed of the plane was 170 mph faster than the speed of the car. Find the speed of the plane.

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shubhamchouhanvrVT shubhamchouhanvrVT · Answer 1 · 2022-06-15T08:39:23+02:00

The speed of the plane will be equal to 240 Mph.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles.

The speed of the plane will be calculated as:-

Let the speed of the car will be x mph so the speed of the plane will be

(x + 170)

Now time for the plane:-

Tp = Dp / Sp

Tp = 1200 / (x+170)

Now time for the car:-

Tc = Dc / Sc

Tc = 350 / x

It is given that time taken by both the plane and the car are equal:-

Tp = Tc

1200 / x+170 = 350 / x

1200x = 350x + 59500

850x = 59500

x = 59500 / 850

x = 70mph

The speed of the plane will be calculated By:-

Sp = x + 170 = 70 + 170 = 240 Mph

Therefore the speed of the plane will be equal to 240 Mph.

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