SOLUTION: Please help me solve this word problem: A certain plane flying with the wind travels 540 km in 2 hours. Later, flying against the same wind, the plane travels 690 km in 3 hours. Fi

Question 640335: Please help me solve this word problem: A certain plane flying with the wind travels 540 km in 2 hours. Later, flying against the same wind, the plane travels 690 km in 3 hours. Find the speed of the plane in still air and the speed of the wind.
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
let the speed of the plane in still air =x
and the speed of the wind=y
flying with the wind travels 540 km in 2 hours
so 2[x+y]=540
or x+y=270 ----1
Later, flying against the same wind, the plane travels 690 km in 3 hours
so 3[x-y]=690
or x-y=230 ---------2
adding 1 & 2
2x=500 or x=250 km/hr =speed of aeroplane
from 1 y=270-250=20 km/hr = speed of air
ans
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