SOLUTION: Flying with the wind, Haribon, the Philippine eagle, managed a speed of 90 kph, but flying against the wind of only half that speed, it only made 30 kph. Find the speed of the wind

Question 1079721: Flying with the wind, Haribon, the Philippine eagle, managed a speed of 90 kph, but flying against the wind of only half that speed, it only made 30 kph. Find the speed of the wind and Haribon's rate of flying where there was no wind.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let e be the speed of the eagle, and w be the speed of the wind. Then:
e+w=90
e/2 -w=30
Then:
e+w=90
e-2w=60
3w=30
w=10
e=80
The full speed of the eagle in still air is 80 kph; the wind blows at 10 kph. ☺☺☺☺
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