Hint:
Kylie reaches New York at 1900 hours Friday (Vegas Time).
Spends 24 hours in New York. So, until 1900 hours Saturday (Vegas Time) she was in New York.
Catches a 20-hour flight to Sydney. So, reaches Sydney at 1500 hours Sunday (vegas Time)
Given: Sydney is 17 hours ahead Las Vegas time.
So time when Kylie arrives at Sydney = 1500 hours + 17 hours = 800 hours Monday (Sydney Time)