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Flying with the wind, haribon, the phil. eagle, managed a speed of 90kph, but flying against the wind of only half that speed, it only made30 kph. find the speed of the wind and haribon's rate of flying when there was no wind?

Sagot :

Shinalcantaraidn
Let 'x' be the speed of Haribon
      'y' be the speed of the wind
Going with the wind you'll have the equation as
x + y = 90   ---equation 1
Flying against the wind you'll have it as:
1/2x - y = 30  ---equation 2
multiply equation 2 with 2
1/2x - y = 30
x - 2y = 60     ----equation 2'
subtract equation 2' from equation 1
    x + y = 90
-  x - 2y = 60
         3y = 30
           y = 10kph
substitute y=10 to equation 1
x + y = 90
x + 10 = 90
x = 90 - 10
x = 80 kph
Therefore the Philippine Eagle is flying at the speed of 80kph while the wind is blowing at 10kph.
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