Question 1208
 Assume the speed of the wind to be x miles/hr and the speed of the cyclist
 to be y.
 With the wind, the combined speed is x+y, x + y = 120/3 = 40 ...(1)
 Against the wind, the (reduced)speed is x-y, x - y = 120/5 = 24 ...(2)

 By (1)-(2),we have 2y = 16, so y = 8 miles/hr

 Answer: the speed of the wind is  8 miles per hr