SOLUTION: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, t
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Question 1130021: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hour 12 minutes. What is his speed in still air, and how fast is the wind blowing?
His speed equal-
wind speed equals-
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
= plane's speed in still air
= wind speed
------------------------------------
Going against the wind:
(1)
Going with the wind:
(2)
------------------------------------------
(2)
(2)
and
(1)
Add the equations
and
(1)
(1)
Plane's speed in still air is 120 mi/hr
Wind speed is 30 mi/hr
---------------------------------------
checK
(1)
(1)
OK
(2)
(2)
(2)
OK
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