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A pilot has planned to fly from airport A to airport B, which is 460 NM away. After flying for 1 hour and 24 minutes covering a distance of 197 NM, the fuel remaining is 765 lb plus reserves. Given the following information and assuming that conditions remain unchanged, what will be the remaining fuel at airport B?

Average TAS: 160 kt
Headwind component: 20 kt
Trip Fuel: 1051 lb
Planned average fuel flow: 320 lb/h
  • A
    453 lb plus reserves.
  • B
    275 lb plus reserves.
  • C
    164 lb plus reserves.
  • D
    382 lb plus reserves.

The aircraft will cover the distance of 197 NM in 1 hour and 24 min (or 1.4 hr) with a Groundspeed of: GS = Distance / Time = 197 NM / 1.4 hr = 140 kt.

OR

With an average TAS of 160 kt and experiencing a headwind component of 20 kt, its Groundspeed will be: 160 kt - 20 kt = 140 kt.

The fuel used, after flying for 1 hour 24 minutes and covering 197 NM, is: Trip Fuel - Fuel remaining = 1 051 lb - 765 lb = 286 lb.

Thus, its actual fuel flow is: 286 lb / 1.4 hr = 204 lb/hr.

The remaining distance to airport B, after having covered 197 NM, will be: Total distance (Distance from airport A to airport B) - 197 NM = 460 NM - 197 NM = 263 NM.

And the remaining distance will be covered in: Remaining Time = Remaining distance / GS = 263 NM / 140 kt = 1.87 hr or 1hr 52 min.

The fuel required for the remaining distance will be: Fuel flow x Remaining time = 204 lb/hr x 1.87 hr = 381 lb.

Therefore, the remaining fuel at airport B will be: Fuel remaining after flying for 1 hour and 24 minutes - Fuel required for the remaining distance = 765 lb - 381 lb = 384 lb, which is very close to 382 lb plus reserves, since conditions remain unchanged.

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