AFQT Arithmetic Reasoning Word Problems

Question 1

A soldier runs 3 miles in 24 minutes. At this pace, how long would it take to run 5 miles?

Accepted Answer

40 minutes

Answer

Rate = 24 min / 3 miles = 8 min per mile. For 5 miles: 5 × 8 = 40 minutes. Set up a proportion: 24/3 = x/5, cross-multiply to get x = 40.

Question 2

A military unit needs 450 MREs (Meals Ready to Eat) per day. How many MREs are needed for a 14-day field exercise?

Accepted Answer

6,300

Answer

Total MREs = 450 per day × 14 days = 6,300 MREs. This is a simple multiplication problem involving rate × time = total.

Question 3

A vehicle's fuel tank holds 25 gallons. If the vehicle gets 15 miles per gallon, what is the maximum distance it can travel on a full tank?

Accepted Answer

375 miles

Answer

Maximum distance = tank capacity × fuel efficiency = 25 gallons × 15 mpg = 375 miles.

Question 4

If 8 soldiers can complete a task in 6 hours, how many hours would it take 12 soldiers to complete the same task?

Accepted Answer

4 hours

Answer

Total work = 8 × 6 = 48 person-hours. With 12 soldiers: 48 ÷ 12 = 4 hours. This is an inverse proportion: more workers means less time.

Question 5

A recruit's scores on four fitness tests were 85, 92, 78, and 89. What score is needed on the fifth test to achieve an average of 88?

Accepted Answer

96

Answer

Target total = 88 × 5 = 440. Current total = 85 + 92 + 78 + 89 = 344. Needed score = 440 - 344 = 96.

(AFQT) Armed Forces Qualification Test Practice Test