When looking for a job while working, one of the biggest challenges job seekers face is finding the time to schedule an interview during the work day. The plain truth is that most of the time employers are going to conduct interviews during the work day, when everyone on the “team” is around. If you are the type of person that prides themselves on never being late or leaving early, this can be a big problem, as your co-workers will notice that you are not there. 
The truth is that everyone misses a day of work now and then, you can take a day off, and your boss doesn’t have to think that you are going to go on an interview every time you miss a few hours. Be smart about how you are going to do things. First, do some leg work and try to arrange several interviews in one day. Try to schedule them so that they are all on a Monday or Friday, because this is the most common time for people to take a personal day. For follow up interviews, see if you can make them as late in the afternoon or as early as possible, it is a lot easier to work a half day and leave then try to come back with an excuse. Last, be smart and don’t try to lie your way into a hole. Any boss is going to understand if you simply ask for a few personal hours rather than have three sick Grandmothers in a row. Better than making up a story that your boss could potentially follow up on, try being vague rather than dishonest, let them draw their own conclusions. 

from Morgan Miller - COO at XL Projects Inc.