SOLUTION: A pilot can travel 540 miles with the wind in the same amount of time as 380 miles against the wind. Find the speed of the wind if the pilots speed in still air is 230 miles per ho

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Question 976685: A pilot can travel 540 miles with the wind in the same amount of time as 380 miles against the wind. Find the speed of the wind if the pilots speed in still air is 230 miles per hour
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A pilot can travel 540 miles with the wind in the same amount of time as 380 miles against the wind.
Find the speed of the wind if the pilots speed in still air is 230 miles per hour
:
Let w = the speed of the wind
Then
(230-w) = his effective speed against the wind
(230+w) = his effective speed with the wind
:
Write a time equation, time = dist/speed (The two times are equal)
540%2F%28%28230%2Bw%29%29 = 380%2F%28%28230-w%29%29
Cross multiply
380(230+w) = 540(230-w)
87400 + 380w = 124200 - 540w
380w + 540w = 124200 - 87400
920w = 36800
w = 36800/920
w = 40 mph is the speed of the wind
:
:
You can confirm this for yourself. Find the actual time by dividing the
distances by the effective speeds, and see if they are equal