The surfers and male models, who have known the outcome of the competition for weeks but were told to keep it a secret until last night's final episode, said that the $250,000 (£167,000) prize money was a very good reason to stay quiet.
Joliffe told the Herald Sun: "We had a pretty big incentive not to tell anyone. But we thought let's just get out of the country [and go on holiday to Bali] as it was easier to keep the result hidden."
Atkins added: "From the start I wanted to win. After struggling a bit in the later legs we really started fighting for it and everything just started to roll our way."
The pair said that they now hope to launch acting careers. "We have both started taking acting lessons and it would be good to stay around in the industry," Joliffe said. "We know modelling has a use-by date and it would be good to expand more into TV."
Joliffe's girlfriend is MTV presenter and former Neighbours actress Erin McNaught. She accidentally revealed that Joliffe would be appearing in The Amazing Race before she was meant to.
The runners-up of The Amazing Race were Western Australian models Sam Schoers and Renae Wauhop.
Fellow competitors Chris Pselletes and Anastasia Drimousis recently announced their split just days after Pselletes admitted that he was "ashamed" at how badly he treated Drimousis during filming for the show.