My sons and I were debating a few concepts relating to a missing drain plug, waterflow in and out of a moving boat and bilge pump performance.

Concept 1:  If you launched without the drain plug and took on water, would water run out the boat if you kept the speed of the boat up?

Concept 2:  On our boat, the drain plug hole is bigger than the bulge pump expeller hole, but is the velocity the bilge expels the water out of the boat a higher velocity than it runs in through the drain hole? (when not moving).