Delay time generally isn't more than a few seconds, but if you live particularly far away from the ingest server, or the video delivery server, you can see a lot more. Also, if you had to add a lot of extra buffering to be able to get audio in sync or something, that will add additional delay. Increasing the rc-lookahead parameter in custom x264 settings will contribute to delay as well.
If it's only 5-10 seconds, that's normal. If it's 15+, something could be up. If so, post a log file and maybe we can try some things to reduce your delay.