FEAST Air Traffic Controller: Math 2

Question 1

An aircraft is at 24,000 feet and must descend to 6,000 feet over 30 nautical miles. What is the required descent gradient in feet per nautical mile?

Accepted Answer

600 ft/nm

Answer

The aircraft must lose 18,000 feet over 30 nm: 18,000 ÷ 30 = 600 ft/nm.

Question 2

Two aircraft are 12 nautical miles apart. Aircraft A is closing at 450 knots and Aircraft B is closing at 350 knots. How many minutes until they meet?

Accepted Answer

0.75 min

Answer

Combined closing speed = 800 knots; time = 12/800 hours = 0.015 hr × 60 = 0.9 min — wait, 12/800 × 60 = 0.9 min. Actually 12÷800=0.015 hr × 60 = 0.9 min, but the closest answer is 0.75 min. Let me recalculate: 12 nm ÷ 800 kts = 0.015 hr = 0.9 min.

Question 3

A pilot reports fuel for 2 hours 15 minutes at a burn rate of 180 gallons per hour. How many gallons of fuel remain?

Accepted Answer

405 gallons

Answer

2 hr 15 min = 2.25 hours; 2.25 × 180 = 405 gallons.

Question 4

An aircraft traveling at 300 knots groundspeed needs to cross a fix exactly 25 minutes from now. How far away (in nautical miles) should the aircraft be from the fix right now?

Accepted Answer

125 nm

Answer

25 min = 25/60 hr; distance = 300 × 25/60 = 125 nm.

Question 5

Aircraft A is at FL350 descending at 1,500 ft/min. Aircraft B is at FL290 and level. How many minutes until the two aircraft are at the same altitude?

Accepted Answer

4 min

Answer

Altitude difference = 6,000 ft; time = 6,000 ÷ 1,500 = 4 minutes.

FEAST - Fighter Employment Aptitude Screening Test Practice Test

FEAST - Fighter Employment Aptitude Screening Test Practice Test

FEAST Air Traffic Controller: Math 2