math-word problem

A plane flies with a ground speed of 160 miles per hour if there is no wind. It travels 350 miles with a head wind and in the same time it takes to go 450 miles with a tail wind. Find the speed of the wind.

I'm pretty bad with word problems, but this is how I answered it:
set an equation:
(350)mph / (160-x)mph = (450)mph / (160+x)mph

solved to get x (windspeed)=20

was this the right way to do it? If not, could somebody please explain?

Thanks a bunch.

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1. correct

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2. thanks ya

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