ASTB-E ASTB-E Math & Mechanical Reasoning 1 — Questions and Answers
Question 1: A pilot flies 240 miles in 2 hours. What is the aircraft's average speed?
- 100 knots
- 120 mph (Correct answer)
- 140 mph
- 160 mph
Correct answer: 120 mph
Average speed = distance ÷ time = 240 miles ÷ 2 hours = 120 mph.
Question 2: If a fuel tank holds 60 gallons and the aircraft burns 12 gallons per hour, how many hours of flight remain when 24 gallons are left?
- 1 hour
- 2 hours (Correct answer)
- 3 hours
- 4 hours
Correct answer: 2 hours
Remaining flight time = remaining fuel ÷ burn rate = 24 gallons ÷ 12 gal/hr = 2 hours.
Question 3: A gear with 40 teeth meshes with a gear with 20 teeth. If the larger gear rotates at 100 RPM, how fast does the smaller gear rotate?
- 50 RPM
- 100 RPM
- 150 RPM
- 200 RPM (Correct answer)
Correct answer: 200 RPM
When two gears mesh, the smaller gear rotates faster; speed ratio = 40/20 = 2, so 100 × 2 = 200 RPM.
Question 4: What is 15% of 480?
- 62
- 72 (Correct answer)
- 82
- 92
Correct answer: 72
15% of 480 = 0.15 × 480 = 72.
Question 5: If a lever is 10 feet long and the fulcrum is placed 2 feet from one end, what is the mechanical advantage of the longer side?
- 2
- 3
- 4 (Correct answer)
- 5
Correct answer: 4
Mechanical advantage = effort arm ÷ load arm = 8 feet ÷ 2 feet = 4.
Question 6: An aircraft descends 3,000 feet over a horizontal distance of 9 miles. What is the glide ratio?
- 1:6
- 1:9
- 1:15.84 (Correct answer)
- 1:3
Correct answer: 1:15.84
Convert 9 miles to feet (9 × 5,280 = 47,520 ft), then glide ratio = 47,520 ÷ 3,000 = 15.84:1.
ASTB-E ASTB-E Math & Mechanical Reasoning 1
A pilot flies 240 miles in 2 hours.
What is the aircraft's average speed?