SOLUTION: A plane can fly 36 miles with the wind, in the same amount of time that it can fly 12 miles against the wind. the plane flies at 100 mph in still air. Find the speed of the wind.

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Question 81379This question is from textbook Beginning Algebra
: A plane can fly 36 miles with the wind, in the same amount of time that it can fly 12 miles against the wind. the plane flies at 100 mph in still air. Find the speed of the wind. This question is from textbook Beginning Algebra

Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
With the wind, the air will aid the airplane
Let speed of Air = A
Speed of plane = 100
Speed With wind = 100+A
Speed Against wind = 100-A
Since Time is Constant and we know Distance = Speed x Time
Distance_1%2FSpeed_1 = Distance_2%2FSpeed_2
36/(100+A) = 12/(100-A)
Dividing both sides with 12
3/(100+A) = 1/(100-A)
Cross Multiplying
300-3A = 100+A
200 = 4A
A = 50
So speed of air = 50mph