SOLUTION: An airplane can travel 380 mph in still air. If it travels 3699 miles with the wind in the same length of time it travels 3141 against the wind, what is the speed of the wind?

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Question 627238: An airplane can travel 380 mph in still air. If it travels 3699 miles with the wind in the same length of time it travels 3141 against the wind, what is the speed of the wind?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The wind is moving air from an area of high pressure to an area of low pressure. The speed at which the wind moves relative to the ground is wind speed.

In equation form, speed is:
v+=+d%2Ft
if the time when airplane travels with the wind is t1 and the time when airplane travels against the wind is t2, we are given that t1=t2...we will use t
so, if it travels 3699 miles with the wind and has a speed of 380+mph, we have
380+mph+=+3699m%2Ft ....now calculate the time t
380+mph+%2At=+3699m
+t=+3699m%2F380+mph

+t=+3699cross%28m%29%2F380cross%28m%2Fh%29

+t=+%283699%2F380%29h
+t=+9.7h.....now we know the time and we can plug it in formula for speed against wind where d=3141m using same time
v+=+3141m%2F9.7h
highlight%28v+=+323.8mph%29 .........your answer