Re: If you're going to worry about their tech selection...
Yes, except that the 555 is realy not a good choice for longer duration delays. Too much drift on the R or the C.
You could sell it as an auto-adjusting delay (and auto-adjust the billed development and build cost) to the company's beancounters.
Seriously, 15 minutes is no problem with decent quality components and the 7555 (CMOS version)