Question 360595: aircraft travels 864 miles with the wind in 4 hours and the same distance against the wind in 6 hours. What is the speed of the wind? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! aircraft travels 864 miles with the wind in 4 hours and the same distance against the wind in 6 hours. What is the speed of the wind?
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plane speed in still air =x
wind speed = y
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with wind speed = x+y
against wind speed = x-y
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t=d/r
864/(x+y)=4
864=4x+4y
/4
216=x+y....................1
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864/(x-y)=6
6x-6y=864
x-y=144.......................2
add both equations
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2x=360
x= 180 mph speed of plane
y = 36 speed of wind
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m.ananth@hotmail.ca
