A small jet can fly 1,072 miles in 4 hours with a tailwind but only 848 miles in 4 hours into a headwind.

Question

Find the speed of the jet in still air and the speed of the wind.

Answer 1

Answer 2

Let x = speed of jet in still air and let y = speed of wind

Recall that distance = (rate)(time)

So, we have the following system of equations:

4(x - y) = 848

4(x + y) = 1072

Add the equations to get 8x = 1920

Now, solve for x and y.