OAR OAR Math Skills: Word Problems 3

Question 1

An aircraft carrier travels at 28 knots for 4 hours, then at 18 knots for 3 hours. What is the total distance covered in nautical miles?

Accepted Answer

166 nm

Answer

Distance = (28 x 4) + (18 x 3) = 112 + 54 = 166 nautical miles.

Question 2

A training course costs $4,500. The Navy covers 80% and the officer pays the rest in 6 equal monthly installments. How much is each installment?

Accepted Answer

$150

Answer

Officer's share = 20% of $4,500 = $900; monthly installment = $900 / 6 = $150.

Question 3

A pump drains a 12,000-gallon tank at 250 gallons per minute. A second pump draining 150 gallons per minute starts 10 minutes after the first. How many total minutes from start until the tank is empty?

Accepted Answer

34 minutes

Answer

After 10 min, pump 1 removes 2,500 gal (9,500 remain); combined rate = 400 gpm; 9,500 / 400 = 23.75 min; total = 33.75 min, rounded up to 34 minutes.

Question 4

A jet uses 1,800 lb of fuel per hour cruising and 2,400 lb per hour climbing. A mission has 20 minutes of climb and 2 hours of cruise. How many pounds of fuel are used?

Accepted Answer

4,400 lb

Answer

Climb fuel = 2,400 x (20/60) = 800 lb; cruise fuel = 1,800 x 2 = 3,600 lb; total = 4,400 lb.

Question 5

If 5 technicians can service 15 aircraft in 3 days, how many technicians are needed to service 36 aircraft in 4 days?

Accepted Answer

9

Answer

Rate = 15 / (5 x 3) = 1 aircraft per technician-day; tech-days needed = 36; technicians = 36 / 4 = 9.

OAR Test Practice Test

OAR Test Practice Test

OAR OAR Math Skills: Word Problems 3