Jet-setting: Kim arrived at LAX on Monday with baby North and husband Kanye West
The 37-year-old hip hop artist will take to the stage in Perth, Australia on Friday as a part of his Yeezus tour.
Meanwhile, Kim, 33, who was accompanied by Kanye and 14-month-old baby North, was also heading to London.
Rita was travelling in comfort, wearing a see-through white tank top through which her black bra was visible, teamed with grey Adidas sweatpants and colourful Adidas sneakers.
Kim donned a blue and white striped button-up teamed with ripped white jeans and strappy brown sandals.
It was claimed that the Keeping Up With The Kardashians star gave her brother’s former flame the cold shoulder at the VMAs last Sunday.
According to TMZ, the reality star was not too happy that she was seated just a couple of places from Rita.
The site wrote: ‘Not wanting any drama, she asked producers to find her a different seat. We’re told she wasn’t a diva, she just didn’t want to have to be social with Rita.
‘VMA producers had to scramble, but ultimately they found a seat for Kim… with Kendall and Kylie.’
It comes as little surprise that there might be a little frostiness between the pair.
In a recent interview with Andy Cohen on his show, Watch What Happens Live, Kim revealed she would pick Rob’s ex Adrienne Bailon over Rita to be her sister-in-law.
She told the host: ‘I would say Adrienne Bailon cause she was in our lives for a long time and I know she’s a really sweet girl and she has good intentions and she has a good heart.’
Meanwhile, Rita has made it clear that the past is in the past.
She told Power 105.1 radio’s show The Breakfast Club: ‘I don’t want to talk about this too much because people move onwards and upwards, and it was a phase.
‘And it was a moment in my life and now it’s like onwards and upwards.’
A spokesperson for Kim told MailOnline: ‘Kim didn’t change seats – she sat in her assigned seat. The tickets were issued days prior.’