FCTC Test Firefighter Mathematical Problems Questions and Answers 2

Question 1

A pump is flowing 200 GPM at 150 psi. If the flow rate doubles to 400 GPM, approximately how does friction loss change? (Friction loss increases with the square of flow rate.)

Accepted Answer

Quadruples

Answer

Friction loss is proportional to flow rate squared. Doubling GPM from 200 to 400 gives a ratio of 2 squared equals 4, so friction loss quadruples.

Question 2

A building has three floors each 12 feet tall. What is the elevation pressure in psi that must be added to pump pressure? (Use 0.434 psi per foot)

Accepted Answer

15.6 psi

Answer

Total height equals 3 times 12 equals 36 feet; elevation pressure equals 36 times 0.434 equals 15.6 psi.

Question 3

A 2.5-inch hose carries 250 GPM total. A firefighter splits the flow equally into two 1.75-inch lines. How much does each line carry?

Accepted Answer

125 GPM

Answer

250 GPM divided by 2 equals 125 GPM per line.

Question 4

A firefighter's hourly pay rate is $28.50. If they work a 24-hour shift, what is their gross pay for that shift?

Accepted Answer

$684.00

Answer

$28.50 multiplied by 24 hours equals $684.00.

Question 5

The required fire flow for a 4,800 square foot building is calculated using the NFA formula: GPM equals area divided by 3. What is the required GPM?

Accepted Answer

1,600 GPM

Answer

4,800 divided by 3 equals 1,600 GPM.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC Test Firefighter Mathematical Problems Questions and Answers 2