Question

A plane travels 650mi from San Oicgo, Catifomia, to \$ait Lake Csy, Utah, with a prevailing wind of 45mph. The return trip against the wind takes 2/1​ he longer Find the average speed of the plane in stili air. The averag espeed of the plane in stili air is

Answer 1

To find the average speed of the plane in still air, we can set up an equation using the time taken for the trip with and against the wind. By solving this equation, we can find the average speed in still air.

Step-by-step explanation:

To find the average speed of the plane in still air, we need to consider the time taken for the trip with and against the wind. Let's call the average speed of the plane in still air 'v', and the speed of the wind 'w'.

With the prevailing wind, the plane's speed will be 'v + w'. The time taken for this trip is the distance divided by the speed:

650mi / (v + 45mph).

Against the wind, the plane's speed will be 'v - w'. Given that the return trip takes 2/1​ he longer, we can set up the following equation:

650mi / (v - 45mph) = (650mi / (v + 45mph)) + (2/1​ he).

To find 'v', we can solve the equation for 'v'. After finding 'v', we can substitute it into either of the equations for the speed of the plane to get the average speed in still air.