SOLUTION: with a strong tailwind an airplane flew 1800 miles in four hours and thirty minutes. The return trip with a head wind took six hours. Find the ground speed of the airplane and th

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Question 398314: with a strong tailwind an airplane flew 1800 miles in four hours and thirty minutes. The return trip with a head wind took six hours. Find the ground speed of the airplane and the wind speed.
Answer by mananth(16946) About Me  (Show Source):
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with a strong tailwind an airplane flew 1800 miles in four hours and thirty minutes. The return trip with a head wind took six hours. Find the ground speed of the airplane and the wind speed.
..
ground speed = x
wind speed = y
..
t=d/r
1800/(x+y)= 9/2
3600/(x+y)=9
3600 = 9x +9y
/9
400=x+y
x+y=400 ..............................1
...
1800/(x-y)=6
6x-6y=1800
/6
x-y=300...............................2
add (1) & (2)
2x=700
/2
x= 350 mph ground speed
plug value of x in (1)
wind speed = 350+y=400
y = 50 mph