|10 m is nothing. The maximum segment length for Cat 5, 5e and 6 is 100 m|
Going from a wired connection to a wireless connection will actually slow things down. Wireless is a poor second to wired.
Having said all the above. I'd like to point out to you that none of the above will affect your external (internet) bandwidth. Your broadband connection is controlled by your ISP. When you signed up you paid for a package that included a certain amount of bandwidth (let's say 1.5 Mbps for example)
If you have concerns that you're not getting what you're paying for, then google "bandwidth speed test" and run a few tests on different test sites and compare to what you're paying for. If you're getting 80% or better, then you are indeed getting what you paid for in which case the only way to increase it is to contact your ISP and see if they offer higher bandiwdth packages and get one of they do and it's available to you.
It matters not how straight the gate,
How charged with punishments the scroll,
I am the master of my fate;
I am the captain of my soul.