SOLUTION: A certain plan 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 an

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Question 485932: A certain plan 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 mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Plane speed= x mph
wind speed= y mph
with wind speed= (x+y)
against wind speed (x-y)
d= 540 with wind
540 / (x+y) = 2
divide by 2
270 / (x+y) = 1
(x+y) = 270 ............1
d= = 690 against wind
27/(x-y) = 3
divide by 3
690 /(x-y) = 3
x - y = 230 .............2
add up (1) & (2)
2 x = 500
/ 2
x= 250 mph speed of Plane in still air
plug value of x in (1)
we get y= 20 mph speed of wind