updated 03/01/2014 AT 4:40 PM ET
•originally published 03/04/2014 AT 6:00 AM ET
The royal couple, who are taking their son, Prince George, with them on their three-week trip, will go head-to-head in a sailing contest on Auckland harbor on April 11.
In the same way that they competed against each other in a dragon boat race during their 2011 visit to Canada, the pair will be taking to the water in New Zealand aboard dueling America’s Cup yachts.
“They are a little competitive and we expect this to be very enjoyable,” William’s private secretary, Miguel Head, said during a press briefing.
William won the dragon boat race last time, so perhaps this time Kate will even the score.
The adrenaline rush will continue two days later when they take a 50-m.p.h. white-water ride across the Shotover River in a jet boat. “It’s a spectacular experience,” Head says.
Another of their New Zealand stops will include coaching teams in a game of Rippa rugby (a non-contact version of the football game) alongside some of the country’s famous All Blacks rugby players. Expect “competitive outbursts,” Head says.