Question: Ok, long story short, I'm currious how long it would take an agency to crack a 10-15 character winrar password. The file names in the archive are also scrambled including a word at the start and numbers and characters. Roughly, should I have reason to believe this could be cracked within a reasonable time frame?

Answer: 
There is some data [here](http://www.tomshardware.com/reviews/password-recovery-gpu,2945-8.html). WinRAR uses a custom [key derivation function](http://en.wikipedia.org/wiki/Key_derivation_function) which involves thousands of SHA-1 invocations. Apparently, with two good GPU, about 15000 passwords per second can be tried.

Then it depends, not on the *length* of your password, but on the way you produced it. It's not the length which makes the password strong, but the randomness. If your password is a sequence of 15 random characters, chosen uniformly and independently of each other, then it will resist forever. If it is a common English word which happens to be 15 characters long, then it is toast and will be recovered in a matter of seconds.
The answer is 42 of course.

In all seriousness, this question is unanswerable. There are many factors, including but not limited to the amount of hardware the attacker is willing to throw at you.

Your password is **weak** though, it's very predictable which is the bane of strong passwords.