AFCT Arithmetic Reasoning 2 — Questions and Answers
Question 1: A soldier needs to travel 186 miles. If he drives at an average speed of 62 mph, how many hours will the trip take?
- 2 hours
- 3 hours (Correct answer)
- 4 hours
- 2.5 hours
Correct answer: 3 hours
Dividing 186 miles by 62 mph gives exactly 3 hours for the trip.
To find travel time, divide the total distance by the speed. 186 / 62 = 3. Therefore, the trip will take exactly 3 hours. This is a straightforward application of the distance-rate-time relationship where T = D/R.
Question 2: A supply depot has 4,200 MREs. If each platoon of 30 soldiers receives 6 MREs per person, how many platoons can be fully supplied?
- 20 platoons
- 23 platoons (Correct answer)
- 25 platoons
- 21 platoons
Correct answer: 23 platoons
Each platoon needs 30 x 6 = 180 MREs. Dividing 4,200 by 180 gives 23.33, so 23 platoons can be fully supplied.
Each platoon requires 30 soldiers x 6 MREs = 180 MREs. Total platoons that can be fully supplied: 4,200 / 180 = 23.33. Since partial platoons cannot be fully supplied, only 23 complete platoons receive their full allocation.
Question 3: A recruit's PT score improved from 210 to 273 points. What was the percentage increase?
- 25%
- 30% (Correct answer)
- 35%
- 28%
Correct answer: 30%
The increase is 63 points. Dividing 63 by the original 210 and multiplying by 100 gives 30%.
First find the increase: 273 - 210 = 63 points. Then calculate the percentage: (63 / 210) x 100 = 30%. The recruit improved their PT score by 30% from the original baseline.
Question 4: A military vehicle uses 5 gallons of fuel per hour. If the tank holds 60 gallons and the vehicle has been running for 7.5 hours, how many gallons remain?
- 20 gallons
- 25 gallons
- 22.5 gallons (Correct answer)
- 17.5 gallons
Correct answer: 22.5 gallons
Fuel used: 5 x 7.5 = 37.5 gallons. Remaining: 60 - 37.5 = 22.5 gallons.
The vehicle consumes fuel at 5 gallons per hour. After 7.5 hours: 5 x 7.5 = 37.5 gallons consumed. Starting with a full 60-gallon tank: 60 - 37.5 = 22.5 gallons remaining in the tank.
Question 5: Three soldiers split a $147 dinner bill so that the first pays twice what the second pays, and the third pays the same as the second. How much does the first soldier pay?
- $49.00
- $73.50 (Correct answer)
- $36.75
- $58.80
Correct answer: $73.50
Let the second soldier's share be x. Then 2x + x + x = 147, so 4x = 147 and x = 36.75. The first pays 2 x 36.75 = $73.50.
Let the second soldier pay x. The first pays 2x and the third pays x. Total: 2x + x + x = 4x = $147. Solving: x = $36.75. The first soldier pays 2 x $36.75 = $73.50. You can verify: $73.50 + $36.75 + $36.75 = $147.00.
Question 6: A base has a rectangular training field measuring 400 meters by 250 meters. What is the perimeter of the field in kilometers?
- 1.3 km (Correct answer)
- 1.0 km
- 1.5 km
- 0.65 km
Correct answer: 1.3 km
Perimeter = 2 x (400 + 250) = 2 x 650 = 1,300 meters = 1.3 km.
The perimeter of a rectangle is P = 2(l + w). Substituting: P = 2(400 + 250) = 2(650) = 1,300 meters. Converting to kilometers: 1,300 / 1,000 = 1.3 km.
AFCT Arithmetic Reasoning 2
A soldier needs to travel 186 miles.
If he drives at an average speed of 62 mph, how many hours will the trip take?