SOLUTION: An airplane travels 5344km against the wind in 8 hours and 6704km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the w
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Question 1060145: An airplane travels 5344km against the wind in 8 hours and 6704km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind? Answer by jorel555(1290) (Show Source):
You can put this solution on YOUR website! Let s be the speed of the plane in still air, and w be the speed of the wind. Then
6704/(s+w)=8
8s+8w=6704
5344/(s-w)=8
8s-8w=5344
Adding the 2nd and 4th equations:
16s=12048
s=753
w=85
The speed of the plane is 753 kph; the wind is 85 kph. ☺☺☺☺
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