FCTC Firefighter Math Applications Questions and Answers 2

Question 1

A fire hose delivers 150 gallons per minute (GPM). If a structure fire requires a total of 4,500 gallons to suppress, how many minutes will it take?

Accepted Answer

30 minutes

Answer

4,500 gallons divided by 150 GPM equals 30 minutes.

Question 2

A ladder is placed against a building so the base is 8 feet from the wall and the ladder is 17 feet long. How high up the wall does the ladder reach?

Accepted Answer

15 feet

Answer

Using the Pythagorean theorem: the square root of (17 squared minus 8 squared) equals the square root of 225, which equals 15 feet.

Question 3

A fire station responds to an average of 12 calls per day. How many calls would the station respond to in a 30-day month?

Accepted Answer

360

Answer

12 calls per day multiplied by 30 days equals 360 calls.

Question 4

A 2.5-inch hose line has a friction loss of 15 psi per 100 feet. What is the total friction loss for 300 feet of hose?

Accepted Answer

45 psi

Answer

15 psi multiplied by 3 (the number of 100-foot sections in 300 feet) equals 45 psi.

Question 5

If a building's floor area is 60 feet by 80 feet, what is the total floor area in square feet?

Accepted Answer

4,800 sq ft

Answer

60 multiplied by 80 equals 4,800 square feet.

FCTC Test Practice Test