two airplanes depart simultaneously from an airport.One flies due south, the other flies due east at a rate 20 mi/h faster than that of the other airplane. After one hour , radar indicates that the airplanes are approximately 450 mi apart. What is the ground speed of each airplane?

Answer 1

This is a right triangle.

The legs are (x+20)1 and 1x

(x+20)^2 +x^2 = 450^2

2x^2 +40x + 400 = 202500

2(x^2+20 x + 200) =202500

x^2 + 20x + 200 =101250

x^2 + 20x -101050 = 0

Can you finish from here?