OAR OAR Math Skills: Word Problems Questions and Answers 2

Question 1

A military supply depot ships 1,250 rations per day to 5 bases equally. If one base requires an additional 75 rations per day, how many total rations must the depot ship daily?

Accepted Answer

1,325

Answer

Each base gets 250 rations (1,250 ÷ 5), and adding 75 extra for one base means the depot ships 1,250 + 75 = 1,325 total.

Question 2

An aircraft travels 480 miles in 1.5 hours with a tailwind and 480 miles in 2 hours against the wind. What is the speed of the wind?

Accepted Answer

40 mph

Answer

With tailwind the plane goes 320 mph and against wind 240 mph; wind speed is (320 − 240) ÷ 2 = 40 mph.

Question 3

A recruit runs a 3-mile course. He covers the first mile in 7 minutes, the second mile in 8 minutes, and the third mile in 9 minutes. What is his average speed for the entire course?

Accepted Answer

7.5 mph

Answer

Total time is 24 minutes (0.4 hours), and 3 miles ÷ 0.4 hours = 7.5 mph.

Question 4

A rectangular training field is 120 yards long and 50 yards wide. If a soldier runs diagonally from one corner to the opposite corner, approximately how far does he run?

Accepted Answer

130 yards

Answer

Using the Pythagorean theorem, √(120² + 50²) = √(14,400 + 2,500) = √16,900 = 130 yards.

Question 5

A tank holds 64 gallons of fuel and consumes 8 gallons per hour while idling and 16 gallons per hour while driving. If the tank idles for 2 hours and then drives, how many hours can it drive before running out of fuel?

Accepted Answer

3 hours

Answer

Idling uses 16 gallons (8 × 2), leaving 48 gallons, which lasts 48 ÷ 16 = 3 hours of driving.

OAR Test Practice Test

OAR Test Practice Test

OAR OAR Math Skills: Word Problems Questions and Answers 2