Question 1120070
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The solution can be obtained informally on a path nearly identical to the formal algebraic solution provided by the other tutor.<br>
The average speed against the wind is 180 miles / 2 hours = 90mph.  The average speed with the wind is 180 miles / 1.2 hours = 150mph.<br>
One speed is the speed of the airplane plus the speed of the wind; the other is the speed of the airplane minus the speed of the wind.<br>
That is a kind of situation that shows up in many different kinds of problems.  Logical analysis says that the speed of the airplane is halfway between the two average speeds; then the wind speed is the difference between the plane's speed and average speed on either of the legs.<br>
Halfway between 90 and 150 is 120.  The speed of the airplane is 120mph; the speed of the wind is 150-120 = 120-90 = 30mph.