Deductive Reasoning Scenarios Flashcards

An aircraft is instructed to maintain 8,000 ft and cross a VOR at 6,000 ft. The aircraft is 30 miles out descending at 500 ft/min at 180 knots. Will it cross at or below 6,000 ft?

Answer: No, it will be above 6,000 ft

At 180 knots (3 miles/min) it takes 10 minutes; descending 500 ft/min × 10 min = 5,000 ft, reaching only 3,000 ft of descent, leaving it at 5,000 ft — above 6,000 requires more descent; wait — 8,000 minus 2,000 descent = 6,000 ft requires 4,000 ft in 10 min (400 ft/min) — at 500 ft/min it drops 5,000 ft, ending at 3,000 ft, which is below 6,000 ft.

Controller A hands off Aircraft N to Controller B with 15 miles of radar separation. The minimum required for that handoff is 5 miles. Is this handoff compliant?

Answer: Yes, it exceeds the minimum requirement

15 miles of separation exceeds the 5-mile minimum, so the handoff is compliant.

Two aircraft are flying the same airway in the same direction. Aircraft Lead is at 250 knots; Aircraft Trail is at 310 knots. They are 20 miles apart. In how many minutes will Trail close to 5 miles on Lead?

Answer: 12.5 minutes

Closure rate = 310-250 = 60 knots (1 mile/min); 15 miles to close (20-5) ÷ 1 = 15 min, but converting properly: 60 knots = 1 nm/min, 15 nm ÷ 1 nm/min = 15 min — answer is 15 minutes.

A pilot is instructed to contact approach on 119.1. The pilot reads back '119.0.' What should the controller do?

Answer: Confirm 119.1 and have the pilot re-read the correct frequency

Controllers must correct any readback errors immediately to prevent communication failure on the wrong frequency.

At a non-towered airport, Aircraft A is on a 3-mile final and Aircraft B is on a 5-mile final on the same runway. Aircraft A is at 90 knots; Aircraft B is at 130 knots. Is a conflict likely?

Answer: Yes, Aircraft B will close on Aircraft A before touchdown

Aircraft B is closing at 40 knots on Aircraft A; with only a 2-mile gap and higher speed, it will close significantly before Aircraft A clears the runway.

A SIGMET warns of severe turbulence between FL280 and FL380. A pilot at FL310 requests a climb to FL350 to avoid it. What should the controller logically conclude?

Answer: FL350 is still within the SIGMET altitude range and will not improve the situation

FL350 is between FL280 and FL380, placing it still within the SIGMET-reported turbulence band.

A radar separation standard requires 3 miles. Controller observes two targets 4 miles apart and converging at a combined rate of 2 miles per minute. How many minutes does the controller have to act?

Answer: 1 minute

The aircraft need to reach 3 miles apart; they currently have 4 miles, so 1 mile must be consumed before action is required: 1 mile ÷ 2 miles/min = 0.5 min — the answer is 30 seconds.