Stylish arrival: Kim Kardashian looks sleek in black as she arrives at LAX

She's been away from her daughter North West for 11 days while on a globe trotting business trip.

And on Tuesday Kim Kardashian looked thrilled to be home as she arrived in Los Angeles at LAX in a stylish ensemble. 

The 34-year-old was most certainly eager to be reunited with her one-year-old child following a busy week in the United Arab Emirates. 

Off-roading: The bombshell drove a dune buggy in the Dubai desert on Sunday