Question 299199
An airplane took 4 hours to fly 1200 miles agianst a headwind.The return trip with the wind took 3 hours. Find the speed of the plane in still air and the speed of the wind. What is the speed of the wind in still air? What is the wind speed?

let rate of plane in still air be x
let rate of wind be y

(x-y)*4 =1200

(x+y)*3=1200


4x-4y=1200

3x+3y=1200

3(4x-4y)+4(3x+3y)=3*1200+4*1200

12x-12y + 12x +12y = 8400

24x=8400
x=350 mph rate of plane in still air

(x+y)*3=1200
(350+y)*3 =1200

1050+3y=1200

3y=1200-1050

3y= 150

y=50 mph rate of wind