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. 
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ground speed = x
wind speed = y
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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