ASVAB Arithmetic Reasoning Word Problems Flashcards

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?

Answer: 3 hours

Original speed is 60 mph; new speed is 80 mph; 240 ÷ 80 = 3 hours.

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?

Answer: 5

480 ÷ 24 = 20 shelves total; 20 ÷ 4 rows = 5 shelves per row.

A soldier burns 450 calories per hour running. If he runs for 1 hour and 20 minutes, how many calories does he burn?

Answer: 600 calories

1 hour 20 minutes = 4/3 hours; 450 × 4/3 = 600 calories.

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?

Answer: 40%

Total = 1,000; Hall C serves 400; 400 ÷ 1,000 = 40%.

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?

Answer: $63.00

180 ÷ 12 = 15 gallons; 15 × $4.20 = $63.00.

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?

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.

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?

Answer: 390

Breakfast = 420; remaining = 780; 780 ÷ 2 = 390 dinner meals.

A recruit earns $2,400 per month. He saves 15% and spends 30% on rent. How much money does he have left after savings and rent?

Answer: $1,320

Savings = $360; rent = $720; total spent = $1,080; $2,400 − $1,080 = $1,320.

A tank crew completes a maintenance check in 45 minutes. If they complete 8 checks in a day, how many total hours do they spend on maintenance checks?

Answer: 6 hours

8 × 45 = 360 minutes; 360 ÷ 60 = 6 hours.

A military warehouse stores crates weighing 65 lbs each. A forklift can carry a maximum of 975 lbs. How many crates can the forklift carry in one load?

Answer: 15

975 ÷ 65 = 15 crates.

A platoon of 40 soldiers must complete a 10-mile march. If 25% fall out before finishing, how many soldiers complete the march?

Answer: 30

25% of 40 = 10 soldiers fall out; 40 − 10 = 30 soldiers finish.

A ship travels at 18 knots for 6 hours, then at 24 knots for 4 hours. What is the total distance traveled in nautical miles?

Answer: 192 nm

18 × 6 = 108 nm; 24 × 4 = 96 nm; total = 204 nm.

A military exercise budget of $15,000 is divided among supplies, transportation, and training in a ratio of 3:2:5. How much money is allocated for training?

Answer: $7,500

Total parts = 10; training gets 5 parts; $15,000 × (5/10) = $7,500.

A soldier completes 3 laps around a 400-meter track in 6 minutes. At this rate, how long will it take him to run 2,400 meters?

Answer: 12 minutes

3 laps = 1,200 m in 6 min; rate = 200 m/min; 2,400 ÷ 200 = 12 minutes.