ASVAB ASVAB Arithmetic Reasoning Word Problems 4 — Questions and Answers
Question 1: A military convoy travels 240 miles in 4 hours. If the convoy increases its speed by 20 mph, how long will it take to travel the same distance?
- 3 hours (Correct answer)
- 2.5 hours
- 3.5 hours
- 4.5 hours
Correct answer: 3 hours
Original speed is 60 mph; new speed is 80 mph; 240 ÷ 80 = 3 hours.
Question 2: A storage room holds 480 boxes. If each shelf holds 24 boxes and there are 4 rows of shelves, how many shelves are in each row?
- 4
- 5 (Correct answer)
- 6
- 8
Correct answer: 5
480 ÷ 24 = 20 shelves total; 20 ÷ 4 rows = 5 shelves per row.
Question 3: A soldier burns 450 calories per hour running. If he runs for 1 hour and 20 minutes, how many calories does he burn?
- 540 calories
- 560 calories
- 600 calories (Correct answer)
- 650 calories
Correct answer: 600 calories
1 hour 20 minutes = 4/3 hours; 450 × 4/3 = 600 calories.
Question 4: A base has 3 mess halls. Hall A feeds 320 soldiers per day, Hall B feeds 280, and Hall C feeds 400. What percentage of the daily total does Hall C serve?
- 38%
- 40% (Correct answer)
- 42%
- 45%
Correct answer: 40%
Total = 1,000; Hall C serves 400; 400 ÷ 1,000 = 40%.
Question 5: A truck uses 1 gallon of fuel every 12 miles. If fuel costs $4.20 per gallon, how much does it cost to drive 180 miles?
- $56.00
- $63.00 (Correct answer)
- $67.20
- $75.60
Correct answer: $63.00
180 ÷ 12 = 15 gallons; 15 × $4.20 = $63.00.
Question 6: Three soldiers split a task that takes 12 hours total. If Soldier A works twice as fast as each of the other two, how many hours does Soldier A work if all three work together for the same number of hours?
- 2 hours
- 3 hours (Correct answer)
- 4 hours
- 6 hours
Correct answer: 3 hours
A does 2 units/hr and B and C each do 1 unit/hr; combined rate = 4 units/hr; total work = 12 units; 12 ÷ 4 = 3 hours each.
Question 7: A supply depot receives a shipment of 1,200 meals. If 35% are breakfast meals and the rest are split equally between lunch and dinner, how many dinner meals are in the shipment?
- 360
- 390 (Correct answer)
- 420
- 480
Correct answer: 390
Breakfast = 420; remaining = 780; 780 ÷ 2 = 390 dinner meals.
ASVAB ASVAB Arithmetic Reasoning Word Problems 4
A military convoy travels 240 miles in 4 hours.
If the convoy increases its speed by 20 mph, how long will it take to travel the same distance?