A great way to prove that you can be relied upon is to be consistently on time. Be sure to set the standard by arriving at least a few minutes early before your interview. Map out the route and go the day before so that you know where it is and how long it will take. You could also talk about a time you followed through with something even in the face of conflict. Consistency in your work shows you are dependable as well.
"I do my best to show up to work 15 minutes early, just in case something comes up on my way there that might set me back. Traffic can be unpredictable, and it's important to me to be on time."
"I currently have a schedule that allows me to pull call whenever needed with a short amount of notice. My flexibility comes in handy when someone calls in sick."