The ps command (at least the procps version used by many Linux distributions) has a number of format fields that relate to the process start time, including lstart
which always gives the full date and time the process started:
# ps -p 1 -wo pid,lstart,cmd
PID STARTED CMD
1 Mon Dec 23 00:31:43 2013 /sbin/init
# ps -p 1 -p $$ -wo user,pid,%cpu,%mem,vsz,rss,tty,stat,lstart,cmd
USER PID %CPU %MEM VSZ RSS TT STAT STARTED CMD
root 1 0.0 0.1 2800 1152 ? Ss Mon Dec 23 00:31:44 2013 /sbin/init
root 5151 0.3 0.1 4732 1980 pts/2 S Sat Mar 8 16:50:47 2014 bash
For a discussion of how the information is published in the /proc filesystem, see https://unix.stackexchange.com/questions/7870/how-to-check-how-long-a-process-has-been-running
(In my experience under Linux, the time stamp on the /proc/ directories seem to be related to a moment when the virtual directory was recently accessed rather than the start time of the processes:
# date; ls -ld /proc/1 /proc/$$
Sat Mar 8 17:14:21 EST 2014
dr-xr-xr-x 7 root root 0 2014-03-08 16:50 /proc/1
dr-xr-xr-x 7 root root 0 2014-03-08 16:51 /proc/5151
Note that in this case I ran a "ps -p 1" command at about 16:50, then spawned a new bash shell, then ran the "ps -p 1 -p $$" command within that shell shortly afterward....)