She didn't swim it straight through. She slept/ate on a boat...

"Figge woke most days around 7 a.m., eating pasta and baked potatoes while she and the crew assessed the weather. Her longest stint in the water was about eight hours, and her shortest was 21 minutes. Crew members would throw bottles of energy drinks as she swam; if the seas were too rough, divers would deliver them in person. At night she ate meat, fish and peanut butter, replenishing the estimated 8,000 calories she burned a day."

http://news.bbc.co.uk/2/hi/americas/7877222.stm
http://newsimg.bbc.co.uk/media/images/45456000/gif/_45456459_cape_verde_trin_226.gif

"The swimmer finally moved nearer her goal when she left Cape Verde Islands on 12 January, facing waves of up to 9m (30 ft).

Each day she would spend up to eight hours in the water at a stretch before returning to her support boat. "

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