FCTC Firefighter Math Applications Questions and Answers

Question 1

An engine company is operating two attack lines at a residential fire.
The first line is a 1.75-inch hose flowing 150 gallons per minute (GPM).
The second line is a 2.5-inch hose flowing 250 GPM.
What is the total flow rate, in GPM, that the pump operator must supply to maintain pressure for both lines?

Accepted Answer

400 GPM

Answer

350 GPM

Answer

300 GPM

Answer

450 GPM

Question 2

A firefighter is operating a 2.5-inch hoseline that is 300 feet long and is flowing 250 GPM. Using a common fireground rule of thumb that estimates friction loss in 2.5-inch hose at this flow rate to be approximately 15 psi per 100 feet, what is the TOTAL estimated friction loss for the entire hoseline?

Accepted Answer

45 psi

Answer

15 psi

Answer

30 psi

Answer

60 psi

Question 3

You are the pump operator supplying an attack line to the 5th floor of an apartment building. The firefighting crew is using a standard fog nozzle that requires 100 psi nozzle pressure. The friction loss in the 200 feet of 1.75-inch hose is calculated to be 40 psi. You must also account for head loss, which is approximately 5 psi for each floor above the fire engine. What is the correct Pump Discharge Pressure (PDP)?

Accepted Answer

160 psi

Answer

140 psi

Answer

145 psi

Answer

125 psi

Question 4

A hazardous materials incident has occurred in a sealed warehouse room. To properly ventilate the space, you must first calculate its total volume. The room measures 40 feet long, 30 feet wide, and has a ceiling height of 20 feet. What is the volume of the room in cubic feet?

Accepted Answer

24,000 cubic feet

Answer

1,200 cubic feet

Answer

90 cubic feet

Answer

7,200 cubic feet

Question 5

A 3,000-gallon water tender is being used in a shuttle operation to supply water to a rural fire scene. The total time for one complete cycle (drive to the scene, dump the water, return to the fill site, and refill the tank) is 20 minutes. How many total gallons of water can this tender deliver to the scene in one hour?

Accepted Answer

9,000 gallons

Answer

3,000 gallons

Answer

6,000 gallons

Answer

12,000 gallons

Question 6

Your fire engine has a 750-gallon water tank. After extinguishing a car fire, you notice that the tank level reading shows you have 600 gallons remaining. What percentage of the total water capacity did you use?

Accepted Answer

20%

Answer

15%

Answer

80%

Answer

25%