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According to Flightaware both QF11 and UA842 are due to arrive in LAX at 6:19 so we'll be able to see which was the quicker route. UA842 departed SYD at 12:02 and QF11 at 12:26 so OQH was 24 minutes after United.
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UA842 took 14 hours 3 minutes (7722 miles) to fly SYD-LAX while QF11 took 14:15 (8199 miles) and arrived 28 minutes after United. QF11's speed for the last 40% of the flight was above 600 mph and as high as 697mph. UA842 was rarely above 550mph and below 500 mph for a large portion of the later part of the flight.
It'll be interesting to see what routes are flown today across the Pacific.