<PRE><B>Question 306590</B>
With a tailwind, an airlplane can fly 1440 km in 2.5 hours. On the return flight with the same wind and flying distance the flight takes 3 h. Find the rate of the plane and the rate of the wind. Help please!

let the tail wind be xmph

let the airplane speed be y kmph

with tail wind the speed will be x+y kmph

distance traveled =1440 km

time taken = 1440 /  x+y = 2.5

1440 = 2.5x+2.5y
.
.
Against wind the airplane speed will be y-x

time taken = 1440/  y-x = 3

1440 = 3y-3x

3(2.5x+2.5y)+2.5(3y-3x) =3*1440 + 2.5*1440

7.5x +7.5y+7.5y-7.5x=7920

15y= 7920
y=528 kmph  airplane speed

x= 48 kmph wind speed




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