Question 693156
Let w = wind speed, mph
Let t = time to travel, hr
Use the following two equations to solve for w then t.
(1) (110 + w)*t = 260 and
(2) (110 - w)*t = 180
You should get 
(3) w = 20 mph and
(4) t = 2 hr
Answer: The rate of the wind is 20 mph.
If you need help solving (1) and (2), just divide (1) by (2) and get
(5) (110 + w)/(110 - w) = 260/180 or
(6) 110 + w = 13/9*(110 - w) or
(7) 990 + 9*w = 13*110 - 13*w or
(8) 22*w = 1100 + 330 - 990 or
(9) 22*w = 440 or
(10) w = 20