SOLUTION: It takes a plane 20 hours to fly to its destination against the wind. The return trip takes 16 hours. If the plane�s average speed in still air is 500 miles per hour, what is the

Question 298160: It takes a plane 20 hours to fly to its destination against the wind. The return trip takes 16 hours. If the plane�s average speed in still air is 500 miles per hour, what is the average speed of the wind during the flight?
Answer by amoati(11) (Show Source): You can put this solution on YOUR website!
Let's assume that the distance is X in miles
plane average speed in still air = Y which is 500 miles per hour
wind average speed = Z
Then the return trip is done in stil air so X = Y * Treturn which means:
X = 500 * 16 = 8000 mile
Then when the plane is flying against the wind
X = (Y-Z) * T
8000 = (500-Z) * 20
400 = 500 - Z ==> Z = 100
So the wind average speed is 100 mile per hour

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