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.