OAR Math Skills: Word Problems Questions and Answers Flashcards

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?

Answer: 1,325

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.

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?

Answer: 40 mph

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

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?

Answer: 7.5 mph

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

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?

Answer: 130 yards

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

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?

Answer: 3 hours

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

Three mechanics can service 12 vehicles in 4 hours. At the same rate, how many vehicles can 5 mechanics service in 6 hours?

Answer: 30

Each mechanic services 1 vehicle per hour (12 ÷ 3 ÷ 4), so 5 mechanics working 6 hours service 5 × 6 = 30 vehicles.