FCTC FCTC Firefighter Math Applications Questions and Answers 2

Question 1

A hose line flows 150 gallons per minute (GPM). How many gallons are discharged in 8 minutes?

Accepted Answer

1,200 gallons

Answer

150 GPM × 8 minutes = 1,200 gallons discharged.

Question 2

A fire engine's water tank holds 750 gallons. If the engine is pumping at 250 GPM, how many minutes until the tank is empty?

Accepted Answer

3 minutes

Answer

750 gallons ÷ 250 GPM = 3 minutes until the tank is empty.

Question 3

A ladder truck has a 100-foot aerial ladder. If the ladder is raised at a 70-degree angle, approximately what horizontal distance from the building's base should the truck be positioned? (sin 70° ≈ 0.94, cos 70° ≈ 0.34)

Accepted Answer

34 feet

Answer

Horizontal distance = 100 ft × cos 70° ≈ 100 × 0.34 = 34 feet.

Question 4

A building is 5 stories tall. If each story is approximately 10 feet, and a firefighter must climb 3 stories to reach the fire floor, how many feet must they climb?

Accepted Answer

30 feet

Answer

3 stories × 10 feet per story = 30 feet of vertical climb.

Question 5

Engine 7 responds to a call 4.5 miles away traveling at an average speed of 36 mph. How many minutes will it take to arrive?

Accepted Answer

7.5 minutes

Answer

Time = distance ÷ speed = 4.5 ÷ 36 = 0.125 hours = 7.5 minutes.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC FCTC Firefighter Math Applications Questions and Answers 2