Would this AUX speaker & sub-woofer configuration work?

[RylieDetchon]

So for Christmas I got a pair of SoundSOUL water speakers. They don't have very good bass, and I would like to amp up the bass with an external sub. I found a cheap one on Kijiji (Craigslist) for $15, that has an aux input at the back. I have an unused audio splitter that I was hoping to put to use in this idea. I was wondering if this configuration would work, and if not, how I could make it.

Here is a drawing of what I am planning:

Any input would be much appreciated!

-Rylie

 

[dudio]

That should work fine (assuming both speakers systems have their own power source).