SOLUTION: It takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind. Find the air speed of the plane and the speed of the wind curre

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Question 332448: It takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind. Find the air speed of the plane and the speed of the wind current
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
speed of plane in still air= x mph
speed of wind = y mph
..
720%2F%28x%2By%29=6
720=%286%2A%28x%2By%29%29
720=6x%2B6y
divide by 6
120=+x%2By%29..............1
..
720%2F%28x-y%29=8
720=8%2A%28x-y%29
720=8x-8y
Divide by 8
90=x-y.................2
add the two equations
x+y+x-y=120+90
2x=210
x= 105 mph the speed of plane.
..
x+y=120
y=120-105
y= 15 mph the speed of wind