A jet travels 2301 miles against the wind in 3 hours and 2811 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind

The rate of the jet in still air is 852 miles per hour. The rate of the wind is 85 miles per hour.

Step-by-step explanation:

Let suppose that jet travels uniformly, that is, at constant speed, the expressions for its travels against the wind and with the wind are, respectively:

Against the wind

With the wind

Where:

- Speed of the jet in still air, measured in miles per hour.

- Speed of wind, measured in miles per hour.

, - Distances travelled by jet against the wind and with the wind, measured in miles.

, - Times against the wind and with the wind, measured in hours.

By adding both expressions:

Given that , , and , the speed of the jet is:

The rate of the jet in still air is 852 miles per hour.

Lastly, the rate of the wind is:

The rate of the wind is 85 miles per hour.

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