AFQT Arithmetic Reasoning Word Problems 2 — Questions and Answers
Question 1: A convoy of trucks travels 240 miles in 4 hours. If they need to cover 360 miles total, how much additional time is needed?
- 2 hours (Correct answer)
- 3 hours
- 1.5 hours
- 4 hours
Correct answer: 2 hours
Speed = 240/4 = 60 mph. Remaining distance = 360 - 240 = 120 miles. Additional time = 120/60 = 2 hours.
Question 2: A military discount offers 20% off a $150 pair of boots, then an additional 10% off the discounted price. What is the final price?
- $108.00 (Correct answer)
- $105.00
- $100.00
- $112.50
Correct answer: $108.00
First discount: $150 × 0.80 = $120. Second discount: $120 × 0.90 = $108.00. Note: Two successive discounts of 20% and 10% are NOT equivalent to a single 30% discount.
Question 3: A rectangular barracks room measures 12 feet by 15 feet. If carpeting costs $4.50 per square foot, how much will it cost to carpet the room?
- $810.00 (Correct answer)
- $540.00
- $720.00
- $900.00
Correct answer: $810.00
Area = 12 × 15 = 180 square feet. Cost = 180 × $4.50 = $810.00.
Question 4: A map uses a scale of 1 inch = 25 miles. If two bases are 3.5 inches apart on the map, what is the actual distance?
- 87.5 miles (Correct answer)
- 75 miles
- 100 miles
- 28.5 miles
Correct answer: 87.5 miles
Actual distance = map distance × scale factor = 3.5 × 25 = 87.5 miles.
Question 5: If a soldier earns $2,400 per month and saves 12% of their pay, how much will they save in one year?
- $3,456 (Correct answer)
- $2,880
- $288
- $3,600
Correct answer: $3,456
Monthly savings = $2,400 × 0.12 = $288. Annual savings = $288 × 12 = $3,456.
Question 6: A training exercise requires 5 hours. If the unit has completed 3 hours and 45 minutes, what fraction of the exercise remains?
- 1/4 (Correct answer)
- 1/3
- 3/4
- 1/5
Correct answer: 1/4
Time completed = 3.75 hours. Time remaining = 5 - 3.75 = 1.25 hours. Fraction remaining = 1.25/5 = 1/4.
AFQT Arithmetic Reasoning Word Problems 2
A convoy of trucks travels 240 miles in 4 hours.
If they need to cover 360 miles total, how much additional time is needed?