Question 451532
Distance formula is r*t=d,


  - r = rate,
  - t = time,
  - d = distance.


When travels with the wind that has its own rate w distance is 


(r+w)*t=d, wind "pushes" plane to move faster


When travels against the wind distance is 


(r-w)*t=d, same distance but wind slows down the plane


Now if we plug the values we have we get


(r+w)*2=1200 -> r+w=600
(r-w)*3=1200 -> r-w=400


If we add these two equations we get:


2r=1000
 r=500mi/h is a rate of the plane.


 w=600-r
 w=100mi/h is a rate of the wind.