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Firefighter Mathematical Problems Flashcards

6 cards from real FCTC practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Firefighter Mathematical Problems flashcards as text

  1. An engine company must provide water for an offensive fire attack using two handlines. The first handline is flowing at a rate of 150 gallons per minute (GPM), and the second handline is flowing at 175 GPM. What is the total flow rate in GPM that the pump operator must supply for both lines?

    Answer: 325 GPM

    To find the total flow rate required, the pump operator must add the flow rates of each individual hoseline. The calculation is 150 GPM + 175 GPM = 325 GPM.

  2. A fire engine's water tank has a capacity of 500 gallons. If it is being refilled from a hydrant at a steady rate of 125 gallons per minute (GPM), how many minutes will it take to fill the tank from empty to full?

    Answer: 4 minutes

    To determine the time required to fill the tank, divide the total capacity of the tank by the rate at which it is being filled. The calculation is 500 gallons / 125 GPM = 4 minutes.

  3. A fire crew is laying out four 100-foot sections of 2.5-inch hose. What is the total length of the hose lay in feet?

    Answer: 400 feet

    This is a multiplication problem. To find the total length, multiply the number of sections by the length of each section. The calculation is 4 sections × 100 feet/section = 400 feet.

  4. A firefighter needs to calculate the floor area of a room to determine ventilation requirements. The room is rectangular and measures 40 feet in length by 25 feet in width. What is the total area of the room in square feet?

    Answer: 1,000 square feet

    The area of a rectangle is calculated by multiplying its length by its width. The calculation is 40 feet × 25 feet = 1,000 square feet.

  5. A 50-foot section of 2.5-inch fire hose, when full, contains approximately 13 gallons of water. Knowing that water weighs about 8.34 pounds per gallon, what is the approximate weight of the water inside two full sections of this hose?

    Answer: 217 lbs

    First, calculate the total volume of water in two sections: 2 sections × 13 gallons/section = 26 gallons. Then, multiply the total gallons by the weight of water per gallon: 26 gallons × 8.34 lbs/gallon ≈ 216.84 lbs, which rounds to 217 lbs.

  6. A hydraulic rescue tool operates at a pressure of 5,000 pounds per square inch (PSI). If the tool's piston has a surface area of 4 square inches, what is the total amount of force the tool can generate?

    Answer: 20,000 pounds

    Force is calculated by multiplying pressure by the area over which it is applied (Force = Pressure × Area). The calculation is 5,000 PSI × 4 square inches = 20,000 pounds of force.