FCTC FCTC Firefighter Math Applications Questions and Answers 3

Question 1

A hose line flows 150 gallons per minute (GPM). How many gallons will be discharged in 8 minutes?

Accepted Answer

1,200 gallons

Answer

150 GPM × 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?

Accepted Answer

48 feet

Answer

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?

Accepted Answer

6 minutes

Answer

500 gallons ÷ 75 GPM ≈ 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?

Accepted Answer

72 feet

Answer

6 flights × 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?

Accepted Answer

12 square feet

Answer

Area = length × width = 4 ft × 3 ft = 12 square feet.

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