Question 264864: an airplane travels 900 miles from houston to miami in 6 hors against the wind.on its return trip, with the wind, it takes only 5 hours. find the rate of the airplane with no wind. find the rate of the wind
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! an airplane travels 900 miles from houston to miami in 6 hors against the wind.on its return trip, with the wind, it takes only 5 hours. find the rate of the airplane with no wind. find the rate of the wind
Let the ground speed be x
And the wind speed be y
AGAINST WIND
Distance = 900 miles.
Distance = Rate * time
900= (x-y)*6
WITH WIND
Distance = 900 miles.
Distance = Rate * time
900= (x+y)*5
6x-6y=900
x-y= 150
5x+5y=900
x+y=180
x-y= 150
x+y=180
2x=330
x= 165 mph = ground speed ( With no wind )
y= 15
The ground speed of the plane is 165 mph and wind speed = 15 mph
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