The Titanic was off Newfoundland and in a time zone 3 hours earlier than GMT. This means it sank at 23:20 on April 14th if you were actually on the Titanic.
http://www.20thcenturyliners.com/wsl_titanic.htm
Collision: 21 knots
Demise: Sunk, due to collision with large newly upturned iceberg.
Re: On her maiden voyage...to New York, NY USA
Route: Queenstown (Cobh) - Southampton - Cherbourg - New York
When: April 14th, 1912, Saturday, @ 11:4O PM GMT (Collision)
April 15th, 1912, Sunday, @ 2:2O AM GMT (Final)
Total Time: 2 Hours, 4O Minutes
Place: North Atlantic, 375 mi, SSE of St. John's Newfoundland