Aplane travels 236 miles in 1. 4 hours against the wind. on the return trip, it travels the same 236 miles in 1 hour. find the speed of the wind. (round answer to the tenth)

Speed is given by the distance traveled divided by the time spent.

The net speed with which the plane traveled against the wind is given by  while the speed with which the plane travelled in the return trip is given by  

Let the speed of the plane be v and the speed of the wind be w, then when the plane was traveling against the sun, we have, v - w = 168.57 and when the plane is travelling in the direction of the wind, we have, v + w = 236.

 Subtracting the first equation from the second equation, we have: 2w = 236 - 168.57 = 67.43

Thus, w = 67.43 / 2 = 33.715

Therefore, the speed of the wind is approximately 33.7 mi/hr.

The first thing we must do for this case is to define variables:
 v1: speed of the plane
 v2: wind speed
 We then have the following system of equations:
 With the wind against:
 v1 - v2 = 236 / 1.4
 Wind in favor:
 v1 + v2 = 236/1
 Solving the system we have:
 v1 = 202.286
 v2 = 33.71
 
 the speed of the wind is:
 v2 = 33.7 miles / hour