Check out this pdf. They have a graph of a RC circuit so that you can see what I'm talking about and also some equations that you can use.
**broken link removed**
Also look at this page for a nice description of RC circuits
https://everything2.com/index.pl?node_id=745343
I have attached a picture of what I'm talknig about.
Keep in mind that this delay is not very precise because of the variability of the capacitor. It won't be very long unless you use unusually large components. Look at the equations on the above pages and plug in some values of resistors and caps and you'll see what I'm talking about. Remember that t=RC and R is in ohms and C is in farads. Most caps you work with are in units of micro or pico farads so take that into account when doing your equations.
To make sense of the time delay, consider this:
t=RC, with time in seconds, so, breaking down the units you get this:
ohms * Farads = (Volt/Amp) * (Coulomb/Volt). If you look, the volts cancel each other and you end up with:
(Coulomb/Amp). An amp is a Coulomb per second, so if you substitute that you get this:
(Coulomb/(Coulomb/second))
Coulombs cancel and you are left with seconds.
Hope this helps.