SOLUTION: -
I am confused how to work this problem.
An airplane can fly downwind a distance of 800 miles in 1.6 hours. The return trip against the same wind takes 2 hours. Find the speed
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Question 870939: -
I am confused how to work this problem.
An airplane can fly downwind a distance of 800 miles in 1.6 hours. The return trip against the same wind takes 2 hours. Find the speed of the wind.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the plane in still air
Let = the speed of the wind
--------------------------------
Flying down wind:
(1)
Flying upwind:
(2)
-----------------------
(1)
(1)
and
(2)
-----------------------
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)
The windspeed is 50 mi/hr
-------------------------
check:
(2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
OK
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