[Carry_Okie]

Correct, that's because IMO you are wrong. Consider the Davidson Current, a freshwater current floating on top of and against the California Current that occurs seasonally off the Oregon coast. It moves north at about two knots driven against the wind and the current by coriolis forces. Its displacement moves faster than the current, but not with the speed of wave energy. For the displacement from this event to reach the Mediterranean, it would have had to travel under the entire north polar ice sheet of that time (which was huge and blocked many existing channels between Hudson Bay and the Atlantic). That's one long gravity push around a very tortuous path subject to coriolis centering forces that would tend to pile a freshwater displacement toward the North Pole rather than leak it by gravitational body forces into the Atlantic. The oceans are very lumpy places because coriolis forces are very powerful. Consider that the center of the Pacific is about 12 feet above its "level" at the edges.

[RightWhale]

If one wants to place limits on the water flow, then the time will be lengthened. In the three major floods at the end of the Ice Age, ocean levels rose worldwide 100 to 200 feet each in a period of two weeks, and that was because it took time for the lake to drain. To reach the Mediterranean will take two days. If you want a quick answer there it is. If you want to design a planetwide detailed computer model of the flooding go for it.