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

1 truck

Answer

3 trucks

Answer

4 trucks

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

42 feet

Answer

48 feet

Answer

56 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

7 minutes

Answer

8 minutes

Answer

10 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

55 psi

Answer

75 psi

Answer

85 psi

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

350 sq ft

Answer

400 sq ft

Answer

425 sq ft

Question 6

If a fire doubles in size every 60 seconds, and it starts at 10 square feet, how large will it be after 3 minutes?

Accepted Answer

80 sq ft

Answer

40 sq ft

Answer

60 sq ft

Answer

100 sq ft

Question 7

A department has 48 firefighters. If 25% are assigned to Station 1, 33% to Station 2, and the rest to Station 3, how many are at Station 3?

Accepted Answer

20

Answer

18

Answer

19

Answer

22