FCTC Test Firefighter Mathematical Problems Questions and Answers 3

Question 1

An engine has a 750-gallon tank and flows 125 GPM on a 1.75-inch attack line. If no water supply is established, how long can the crew operate before the tank is empty?

Accepted Answer

6 minutes

Answer

750 gallons divided by 125 GPM equals 6 minutes of operating time.

Question 2

The fireground requires 500 GPM of water. A hydrant flows at 750 GPM. After supplying the required fire flow, what residual flow remains at the hydrant?

Accepted Answer

250 GPM

Answer

Residual flow equals 750 minus 500 equals 250 GPM.

Question 3

A 100-foot section of 3-inch hose has a friction loss of 8 psi per 100 feet at 200 GPM. What is the total friction loss for 400 feet of this hose at 200 GPM?

Accepted Answer

32 psi

Answer

400 feet equals 4 sections of 100 feet each; total friction loss equals 4 times 8 psi equals 32 psi.

Question 4

A 55-gallon drum of foam concentrate weighs 495 lbs. A firefighter needs to move 3 drums using a dolly. What is the total weight being moved?

Accepted Answer

1,485 lbs

Answer

3 drums multiplied by 495 lbs per drum equals 1,485 lbs.

Question 5

A firefighter's heart rate reaches 180 beats per minute during a live fire exercise. Normal resting rate is 60 BPM. By what percentage has the heart rate increased?

Accepted Answer

200%

Answer

Percentage increase equals (180 minus 60) divided by 60 times 100 percent equals 120 divided by 60 times 100 equals 200 percent.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC Test Firefighter Mathematical Problems Questions and Answers 3