04/22/2014 AT 08:25 AM EDT
Following in the footsteps of his parents Charles and Diana's visit 31 years ago
saw the majesty of Uluru, Australia's most famous natural landmark, for themselves at sunset on Tuesday.
The two posed for photos at the romantic spot, also known as Ayers Rock, in the heart of the Northern Territory, though after stepping from a white Toyota Land Cruiser upon their arrival, the pair seemed a little unsure of what to do with so many eyes on them.
"So, what shall we talk about?" William joked to Kate. He then appeared to point out features on the rock and mumbled a few words of mock conversation.
"So, that's something there," he said, almost smirking.
Kate, who had changed from her earlier dress into a cream-colored one from the high street chain Hobbs, used expressive hand gestures during their chat, giving the impression they were deep in conversation.
Kate also swatted away some flies as they spoke, and tucked her hair behind her ears, away from her face.
The spiritually significant landmark is a pilgrimage destination for tourists from all over the world and a place for romantic escapes, but after a minute of no physical interaction between the royal pair in front of the news crews, the press secretary posed them for about 30 seconds – they were smiling and doing their best not to blink while flies circled around them.
After the briefest of photo moments, the pair could relax. "Well, that was interesting," William told his wife. "I actually thought the sun was going to be behind us for some reason, but it's the other way around."
A schoolgirl who attended the photo op told Kate, "You were both like magic when the photos were being taken. I was like, 'How are they not swatting flies away?' "
"I know. It was difficult," Kate replied with a laugh, as William added, "They were all coming for us."
Moments later, William said to Kate: "It's a beautiful sight, though. Quite breathtaking."