You've memorized hiragana already, so katakana shouldn't be difficult, now that you're used to the symbols. Some say it can take just a weekend if you push hard at it. It depends on how many you aim to learn a day. You'll learn it quite fast, I'm sure.
I learnt the hiragana quite fast, but, funnily enough, it took me longer to learn the katakana.
Yeah, it depends on you yourself.