Jean Paul, who lived in the heart of Paris, France, decided to place a geocache on September 21, 1794 (he was a pioneer in the game!). Being a mathematician as well as having a photographic memory, he was able to remember all of the details surrounding the hiding of his cache. That night, he went to bed dreaming of the fun that the local FTF crew that would attempt to find his hide once the location was posted at the local tavern.
When Jean Paul awoke the next day, September 22, 1794, he somehow managed to forget the coordinates of the cache he had placed just the day before! Furthermore, as he glanced out his window and spied the brand new town clock (installed at midnight to reflect the new French Republic time system) he realized that it was going to take a few adjustments to get himself back on his normal schedule. Being a mathematician and having a photographic memory did have its advantages - Jean Paul remembered the exact times from the day before, that when converted to the new time scale, would reveal the north and west coordinates of the cache. Jean Paul calculated that 28.878 minutes past midnight on the 21st, when converted to the new time scale, would correspond the the North coordinate minutes for the cache. A similar conversion of 31.694 minutes past midnight on the 21st would provide the West coordinate minutes for the cache.
Confident in his memory and calculations, Jean Paul went down to the local tavern to post the coordinates and let the fun begin for the FTF crew.
You can check your answers for this puzzle on Geochecker.com.