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

1,050 gallons

Answer

1,350 gallons

Answer

900 gallons

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

2 minutes

Answer

4 minutes

Answer

5 minutes

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

66 feet

Answer

94 feet

Answer

70 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

25 feet

Answer

35 feet

Answer

40 feet

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

6.5 minutes

Answer

8 minutes

Answer

9 minutes

Question 6

A standpipe system requires 100 PSI at the outlet. If friction loss in the supply line is 25 PSI and elevation pressure loss is 15 PSI, what must the pump discharge pressure be?

Accepted Answer

140 PSI

Answer

115 PSI

Answer

125 PSI

Answer

135 PSI