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

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