FCTC Firefighter Math Applications 3

Question 1

A pumper truck delivers water at 250 GPM. A structure fire requires 500 GPM. How many pumper trucks are needed to meet the demand?

Accepted Answer

2 trucks

Answer

500 ÷ 250 = 2 trucks needed.

Question 2

A firefighter climbs 14 steps per floor. If each step is 8 inches high, how tall (in feet) is a 5-story building?

Accepted Answer

46.67 feet

Answer

14 steps × 8 inches × 5 floors = 560 inches ÷ 12 = 46.67 feet.

Question 3

Engine 7 travels to a fire scene at 45 mph and covers a distance of 6.75 miles. How long (in minutes) does the response take?

Accepted Answer

9 minutes

Answer

Time = distance ÷ speed = 6.75 ÷ 45 = 0.15 hours × 60 = 9 minutes.

Question 4

A standpipe system is pressurized to 100 psi. Friction loss per 100 feet of hose is 15 psi. For a 200-foot hose, what is the nozzle pressure?

Accepted Answer

70 psi

Answer

100 psi - (15 psi × 2) = 100 - 30 = 70 psi nozzle pressure.

Question 5

A hazmat spill covers an area 18 feet wide and 25 feet long. What is the total area of the spill?

Accepted Answer

450 sq ft

Answer

18 × 25 = 450 square feet.

FCTC Test Practice Test