FCTC Test FCTC Firefighter Math Applications 1

Question 1

Two hose lines are operating simultaneously at a structure fire. Line A flows 125 GPM and Line B flows 175 GPM. How many total gallons are discharged after 6 minutes?

Accepted Answer

1,800 gallons

Answer

1,200 gallons

Answer

1,500 gallons

Answer

2,100 gallons

Question 2

A fire engine's water tank holds 500 gallons. The engine pumps at 80 GPM for 4 minutes before a water supply is established. How many gallons remain in the tank?

Accepted Answer

180 gallons

Answer

80 gallons

Answer

320 gallons

Answer

420 gallons

Question 3

A ground ladder must reach the roof of a 60-foot building. The base of the ladder is placed 15 feet from the building wall. Using the Pythagorean theorem (c² = a² + b²), what is the minimum ladder length needed?

Accepted Answer

Approximately 62 feet

Answer

Approximately 55 feet

Answer

Approximately 58 feet

Answer

Approximately 75 feet

Question 4

A fire crew works a 24-hour shift and spends a total of 7.5 hours on active structure-fire operations. What percentage of the shift was spent on structure fires?

Accepted Answer

31.25%

Answer

25.5%

Answer

37.5%

Answer

42%

Question 5

A pump operator needs to fill a tanker truck that holds 3,000 gallons. The pump discharges water at 300 GPM. How many minutes will it take to fill the tanker?

Accepted Answer

10 minutes

Answer

6 minutes

Answer

8 minutes

Answer

12 minutes

Question 6

Each hose section at a fire station is 50 feet long. A firefighter needs to stretch a line to a point 220 feet from the engine. How many hose sections are required to reach the target?

Accepted Answer

5 sections

Answer

3 sections

Answer

4 sections

Answer

6 sections