FCTC Firefighter Mathematical Problems 2

Question 1

A fire engine pump is operating at 150 psi engine pressure. Friction loss in the 200-foot hose line is 20 psi. What is the nozzle pressure?

Accepted Answer

130 psi

Answer

Nozzle Pressure = Engine Pressure − Friction Loss = 150 − 20 = 130 psi.

Question 2

A fire extinguisher rated at 2.5 lbs/minute discharges for 45 seconds. How many pounds of agent are discharged?

Accepted Answer

1.875 lbs

Answer

45 seconds = 0.75 minutes. 2.5 lbs/min × 0.75 min = 1.875 lbs.

Question 3

A structure measures 40 ft × 60 ft × 10 ft. What is the total volume of the structure in cubic feet?

Accepted Answer

24,000 cu ft

Answer

Volume = Length × Width × Height = 40 × 60 × 10 = 24,000 cubic feet.

Question 4

Station response data shows 120 calls in January, 95 in February, and 110 in March. What is the average monthly call volume for this period?

Accepted Answer

108.3

Answer

Average = (120 + 95 + 110) ÷ 3 = 325 ÷ 3 = 108.33 ≈ 108.3.

Question 5

A fire hose 50 feet long needs to be replaced. If replacement hose costs $4.50 per foot, what is the total cost?

Accepted Answer

$225.00

Answer

50 feet × $4.50/foot = $225.00.

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