FCTC FCTC Firefighter Math Applications Questions and Answers 5

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?

Accepted Answer

$1,800,000

Answer

$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?

Accepted Answer

400 GPM

Answer

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?

Accepted Answer

10 acres

Answer

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?

Accepted Answer

18 minutes

Answer

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?

Accepted Answer

250 GPM

Answer

Three lines × 250 GPM = 750 GPM used; 1,000 − 750 = 250 GPM residual.

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FCTC FCTC Firefighter Math Applications Questions and Answers 5