Check out this blog post by Eat the Love: Peeling Carrots: I've Been Doing it All Wrong!
There's actually a video about saving time peeling carrots.
To be honest, this is how I often peel carrots. Although I do find myself leaning over the garbage can holding the carrot with one hand occasionally when I'm in a hurry. LOL! I wanted to share this quick tip in case you are looking for time saving tips for prepping vegetables like carrots.