SOLUTION: A cross-country flight traveling with the wind covers 3000 miles in 5 hours. The same plane then changes direction and travels to Texas, against the wind, covering 1500 miles in 3

Question 270275: A cross-country flight traveling with the wind covers 3000 miles in 5 hours. The same plane then changes direction and travels to Texas, against the wind, covering 1500 miles in 3 hours. What are the wind speed, and the speed of the plane in still air?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = plane's speed in still air
Let = wind speed
Flying with the wind:

Flying against the wind:

-------------------------
given:
(1)
(2)
-------------------------
(1)
(2)
multiply both sides of (1) by
and both sides of (2) by
Then add the equations
(1)
(2)

mi/hr
and, from (2)
(2)

mi/hr
the wind speed is 50 mi/hr
the plane's speed in still air is 550 mi/hr
check:
(1)

(2)

OK

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