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Fuel burn of 737 vs 320

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Rough airbus 320 numbers

Above 33,000 @.78 full aircraft full fuel cruise burn ~5200lbs/hr. A little higher at first, less towards the end of the flight. This is with v2500 engines.
 
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-800 @ FL350 LRC .790 = 5656 PPH

@ FL370 LRC .790 = 5028 PPH

@ FL390 LRC .790 = 4716 PPH

@ FL410 LRC .790 = 4416 PPH

Econ #'s are a little harder to figure, looks at cost index to determine speed etc

Never flown Fifi, so can't tell you anything about her stats,

Hope this helps!

Winglets make a difference.
 
So comparatively speaking what is the fuel burn benefit for each a/c?
 

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