UNIX for Advanced & Expert Users

Hi,
I have a shell script which i am running. I want it's starting time (the time when the execution of the shell script started) in another shell script. Note that the process has already terminated when i need it's starting time.... else i could have used ps -f | cut -d" " -f5...
But that's not the case, since process has terminated. Also, since I am not superuser, I am unable to use process accounting..
I am using korn shell.
Any help..

In the first script do something like:
echo first script started $(date) > /some/file

In the second script do something like:
read starttime < /some/file

Thanks... But i cannot change my first script. It has to contain pre-determined things only.... Is there any way I can execute the script you suggested whenever my first script is executed?
THnaks in advance..