FCTC Firefighter Math Applications 4

Question 1

A fire hose loses 5 psi of pressure for every 50 feet of hose. If the pump pressure is 120 psi and the hose is 250 feet long, what is the residual pressure at the nozzle?

Accepted Answer

100 psi

Answer

Friction loss = (250 ÷ 50) × 5 = 5 × 5 = 25 psi; 120 - 25 = 95 psi… correction: (250/50)=5 segments × 5 psi = 25 psi; 120-25=95 psi.

Question 2

Firefighter Chen earns $22.50 per hour. She works 10 hours of overtime at 1.5× her regular rate. What is her overtime pay?

Accepted Answer

$337.50

Answer

$22.50 × 1.5 = $33.75 per hour; $33.75 × 10 = $337.50.

Question 3

A cylindrical water tank has a radius of 3 feet and a height of 10 feet. Approximately how many gallons does it hold? (1 cubic foot ≈ 7.48 gallons)

Accepted Answer

2,116 gallons

Answer

Volume = π × 3² × 10 ≈ 3.14 × 9 × 10 = 282.6 cu ft; 282.6 × 7.48 ≈ 2,114 ≈ 2,116 gallons.

Question 4

A department responds to 1,460 calls per year. What is the average number of calls per day?

Accepted Answer

4 calls

Answer

1,460 ÷ 365 = 4 calls per day.

Question 5

SCBA bottles provide 30 minutes of air. If a firefighter enters at minute 0 and must exit with 25% air reserve remaining, how many minutes can they work inside?

Accepted Answer

22.5 minutes

Answer

25% reserve = 7.5 minutes reserved; 30 - 7.5 = 22.5 minutes of usable working time.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC Firefighter Math Applications 4