Question

commercial jet and a private airplane fly from Denver to Phoenix. It takes the commercial jet 1.2 hours for the flight, and it takes the private airplane 1.8 hours. The speed of the commercial jet is 185 miles per hour faster than the speed of the private airplane. Find the speed, in miles per hour, of both airplanes.

Answer 1

The speed of the private airplane is 370 miles per hour, and the speed of the commercial jet is 555 miles per hour.

Step-by-step explanation:

Let's assume that the speed of the private airplane is 'x' miles per hour. Since the speed of the commercial jet is 185 miles per hour faster, its speed can be represented as 'x + 185' miles per hour.

To find the speed of both airplanes, we can set up an equation based on the given information:

Time taken by the commercial jet = 1.2 hours

Time taken by the private airplane = 1.8 hours

Distance covered by both airplanes is the same. Therefore, we can write:

Speed of commercial jet × Time taken by commercial jet = Speed of private airplane × Time taken by private airplane

(x + 185) × 1.2 = x × 1.8

1.2x + 222 = 1.8x

0.6x = 222

x = 370

The speed of the private airplane is 370 miles per hour, and the speed of the commercial jet is 370 + 185 = 555 miles per hour.

Answer 2

474

Step-by-step explanation:

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