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
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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
