Find the speed of the wind if the speed of the plain in still air is 180 mph.

Question

Joel traveled againt the wind in a small plane for 3hr. The return trip with the wind took 2.8 hr.

Answer 1

(180-x)*3 = (180+x)*2.8

540 - 3x = 504 + 2.8x

36 = 5.8x

360 = 58x

360/58 = x

180/29 = x

x = 6 and 6/29 <-- wind speed

check:

(180 - 180/29)*3 = (5220 - 180)*3/29 = 15120/29

(180 + 180/29)* 2.8 = (5220 + 180)*2.8/29 = 15120/29

The distance is 521.37931034482758621-