FCTC FCTC Firefighter Math Applications Questions and Answers 5 — Questions and Answers
Question 1: A fire department's budget is $2,400,000 per year. If personnel costs represent 75% of the budget, how much is spent on personnel annually?
- $1,600,000
- $1,800,000 (Correct answer)
- $1,920,000
- $2,100,000
Correct answer: $1,800,000
$2,400,000 × 0.75 = $1,800,000 allocated to personnel costs.
Question 2: A 2½-inch hose carries water at 200 GPM. If two identical lines are operating simultaneously, what is the total combined flow rate?
- 200 GPM
- 300 GPM
- 400 GPM (Correct answer)
- 500 GPM
Correct answer: 400 GPM
200 GPM × 2 hose lines = 400 GPM total combined flow.
Question 3: A fire travels at an average rate spreading 0.5 acres per minute in dry conditions. How many acres will burn in 20 minutes if not contained?
- 5 acres
- 8 acres
- 10 acres (Correct answer)
- 15 acres
Correct answer: 10 acres
0.5 acres/min × 20 minutes = 10 acres burned.
Question 4: A firefighter's SCBA air cylinder lasts 30 minutes under normal exertion. If heavy exertion reduces the air supply by 40%, how long will the cylinder last during heavy exertion?
- 12 minutes
- 16 minutes
- 18 minutes (Correct answer)
- 24 minutes
Correct answer: 18 minutes
Heavy exertion reduces duration by 40%, so 30 × 0.60 = 18 minutes.
Question 5: A hydrant delivers water at 1,000 GPM. A pumper is drawing from this hydrant and flowing three 2½-inch lines at 250 GPM each. What is the residual flow remaining at the hydrant?
- 100 GPM
- 150 GPM
- 250 GPM (Correct answer)
- 500 GPM
Correct answer: 250 GPM
Three lines × 250 GPM = 750 GPM used; 1,000 − 750 = 250 GPM residual.
Question 6: A hazmat container holds 55 gallons of chemical. A leak is releasing the chemical at 2.5 gallons per minute. How many minutes before the container is empty?
- 18 minutes
- 20 minutes
- 22 minutes (Correct answer)
- 25 minutes
Correct answer: 22 minutes
55 gallons ÷ 2.5 GPM = 22 minutes until the container is empty.
Question 7: A fire station responds to an average of 12 calls per day. Approximately how many calls does the station handle in a 30-day month?
- 300 calls
- 320 calls
- 360 calls (Correct answer)
- 400 calls
Correct answer: 360 calls
12 calls/day × 30 days = 360 calls per month.
FCTC FCTC Firefighter Math Applications Questions and Answers 5
A fire department's budget is $2,400,000 per year.
If personnel costs represent 75% of the budget, how much is spent on personnel annually?