FCTC Test Test Firefighter Mathematical Problems 1

Question 1

A 100-foot section of 2.5-inch hose has a friction loss of 18 psi at a given flow rate.
A firefighter extends the lay to 450 feet using the same hose and flow rate.
What is the total friction loss in the extended hose?

Accepted Answer

81 psi

Answer

36 psi

Answer

54 psi

Answer

90 psi

Question 2

A tanker carries 2,500 gallons of water to a rural fire scene. The attack crew is flowing at 125 GPM. Ignoring refill time, how many minutes will the tanker supply last?

Accepted Answer

20 minutes

Answer

12 minutes

Answer

16 minutes

Answer

25 minutes

Question 3

A firefighter must pump through 300 feet of 2.5-inch hose with a friction loss of 8 psi per 100 feet. The nozzle requires 80 psi nozzle pressure. What is the required pump discharge pressure?

Accepted Answer

104 psi

Answer

88 psi

Answer

96 psi

Answer

112 psi

Question 4

A firefighter earns $35.00 per hour and works 56 hours in one week. Their contract pays overtime at 1.5 times the regular rate for hours beyond 40. What is their total gross pay for the week?

Accepted Answer

$2,240.00

Answer

$1,960.00

Answer

$2,100.00

Answer

$2,940.00

Question 5

Using the NFA fire flow formula (GPM = Length × Width ÷ 3), what is the required fire flow for a single-story commercial building measuring 75 feet by 120 feet?

Accepted Answer

3,000 GPM

Answer

1,500 GPM

Answer

2,400 GPM

Answer

4,500 GPM

Question 6

An engine company pumps at a steady 350 GPM for 30 minutes while suppressing a structure fire. How many total gallons of water did the engine discharge?

Accepted Answer

10,500 gallons

Answer

3,500 gallons

Answer

7,000 gallons

Answer

14,000 gallons