FCTC FCTC Firefighter Math Applications Questions and Answers 3 โ Questions and Answers
Question 1: A hose line flows 150 gallons per minute (GPM). How many gallons will be discharged in 8 minutes?
- 1,050 gallons
- 1,200 gallons (Correct answer)
- 900 gallons
- 1,350 gallons
Correct answer: 1,200 gallons
150 GPM ร 8 minutes = 1,200 gallons discharged.
Question 2: A building is 45 feet tall. If a ladder must extend 3 feet above the roofline, what is the minimum working length of ladder needed?
- 42 feet
- 45 feet
- 48 feet (Correct answer)
- 50 feet
Correct answer: 48 feet
45 feet + 3 feet extension above roofline = 48 feet minimum ladder length.
Question 3: A pumper truck has a 500-gallon tank. If water is being used at 75 GPM, approximately how many minutes will the tank last?
- 5 minutes
- 6 minutes (Correct answer)
- 7 minutes
- 8 minutes
Correct answer: 6 minutes
500 gallons รท 75 GPM โ 6.67 minutes, which rounds to approximately 6 minutes of supply.
Question 4: A fire crew must carry hose sections up 6 flights of stairs. Each flight is 12 feet high. What is the total vertical distance climbed?
- 60 feet
- 66 feet
- 72 feet (Correct answer)
- 78 feet
Correct answer: 72 feet
6 flights ร 12 feet per flight = 72 feet total vertical distance.
Question 5: A rectangular ventilation opening measures 4 feet by 3 feet. What is its area?
- 7 square feet
- 10 square feet
- 12 square feet (Correct answer)
- 14 square feet
Correct answer: 12 square feet
Area = length ร width = 4 ft ร 3 ft = 12 square feet.
Question 6: A fire station receives a call at 14:37 and the crew arrives on scene at 14:52. What is the response time in minutes?
- 12 minutes
- 13 minutes
- 15 minutes (Correct answer)
- 17 minutes
Correct answer: 15 minutes
14:52 โ 14:37 = 15 minutes response time.
Question 7: Nozzle pressure is 50 psi and friction loss in the hose is 18 psi per 100 feet. For a 300-foot hose lay, what is the required pump discharge pressure?
- 86 psi
- 94 psi
- 104 psi (Correct answer)
- 118 psi
Correct answer: 104 psi
Friction loss = 18 psi ร 3 (for 300 ft) = 54 psi; pump pressure = 50 + 54 = 104 psi.
A hose line flows 150 gallons per minute (GPM).
How many gallons will be discharged in 8 minutes?