SOLUTION: Flying with the wind, a bird was able to make 150 km/hr.If the wind was half as strong and the bird flies against it, it could make only 30 km/hr. Find the velocities of the wind a

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Flying with the wind, a bird was able to make 150 km/hr.If the wind was half as strong and the bird flies against it, it could make only 30 km/hr. Find the velocities of the wind a      Log On


   

Question 641209: Flying with the wind, a bird was able to make 150 km/hr.If the wind was half as strong and the bird flies against it, it could make only 30 km/hr. Find the velocities of the wind and the bird.
Answer by lwsshak3(11628) About Me  (Show Source):
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Flying with the wind, a bird was able to make 150 km/hr.If the wind was half as strong and the bird flies against it, it could make only 30 km/hr. Find the velocities of the wind and the bird
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let x=speed of bird
let c=speed of wind
x+c=speed of bird with the wind
x-c=speed of bird against the wind
..
x+c=150
x-c/2=30
..
x+c=150
2x-c=60
add
3x=210
x=70
c=150-x=80
speed of bird= 70 km/hr
speed of wind= 80 km/hr