hi Gregg,
Your original request was a little misleading, the way it read, is that the car battery connection was cut, where in fact IIUC, its just the ignition thats been switched OFF.
If you just wanted to detect and start a timer when the ignition was switched off, then we could have advised you better.
I also understood that you wanted a precise timing of around 40ish seconds, you are now saying a 'rough' setting of 1 to 60 seconds, which is it.?
I would be pleased to draw a circuit for you, but please tell us what exactly what you want to it do,..