Doppler effect in moving medium?

[xxxyyy]

Hi there,
here's the problem:
There's a sound, with a certain frequency coming, from a source.
Both the listener and the source are fixed in a inertial reference frame.
But there's wind blowing from the source to the listener.
Now, this situation isn't the same as the listener chasing the source, both moving with the speed of wind, in a reference frame with no wind?
This would give no change in frequency for the listener, I guess.
The solution in my book gives me another answer: source fixed, listener moving towards the source at the speed of wind (in a reference frame with no wind).
Who's right?
Thanks for the help!

 

[Dale]

Now, this situation isn't the same as the listener chasing the source, both moving with the speed of wind, in a reference frame with no wind?

Yes, it is the same. However, the typical non-relativistic Doppler formula does not work for this.

Here is a page on the general Doppler formula that applies for everything.

https://www.mathpages.com/rr/s2-04/2-04.htm