The Fairy Penguin (Eudyptula minor) is known to dive as deep as 60 feet and remain submerged for as long as 60 seconds. So they can swim at a rate of two feet per second. That's 60 feet down, and 60 feet returning to the surface, in one minute.
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Puffins can fly at up to 55 MPH, and they are also pretty agile underwater, where they move mostly at a fast walk --- say 5 or even 10 MPH in bursts.
They can stay down for up to a minute. For a video of a swimming puffin, see this: http://www.puffinpalooza.com/tag/how-well-can-a-puffin-swim/