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

Question

2 years ago

12

the plane was 170 mph faster than the speed of the car. Find the speed of the plane.

1 answer:

frosja888 [35] · Answer 1 · 2023-03-14T07:38:03+03:00

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

<h3>What is speed?</h3>

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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