FCTC Math Problems
Questions and Complete
Solutions Graded A+
Engine 17 is 7ft in length, 5ft wide,and 3ft deep. How much water can be held in Engine 17's water tank?
(L x W x H = Volume) - Answer: 105 ft sq
A tank with a 12ft diameter holds 864 gallons per foot of depth. How many gallons with a tank of 12ft
diameter hold if it's 5ft deep? - Answer: 4,320 gallons
Engine 33 is traveling 351 miles to assist in a mutual aid. They have to drive 216 miles in 4 hours, what is
their average speed? - Answer: 54 miles
There are 6 sections of 100ft wildland hose, and 9 sections of 80ft structural hose. 5 sections of
structural hose fail. What is the total amount of structural hose that failed? - Answer: 400ft failed
Engine carries 1,100ft of 2 1/2 inch, 900ft of 4 inch, and 1,000ft of 4 1/2 inch. If the 4 inch was removed,
what percentage was removed from the total? - Answer: 30%
How many acres were burned? - Answer: 6.88 acres
For a fire on the 4th floor, you need to have 100psi at the nozzle, for each floor above the first floor you
lose 5 psi, for every 100ft of hose you lose 15 psi. There are 400ft of hose used to get to the fire. What is
the total pressure needed at the engine? - Answer: 175 psi
How many cubic feet of water can a Captain expect the tank to hold? - Answer: 1,385
An engine pumps 1,450 gallons per minute, how many gallons will be pumped in 5.5 minutes? (1,450
gals per min x 5.5 minutes = X) - Answer: 7,975 gallons
Questions and Complete
Solutions Graded A+
Engine 17 is 7ft in length, 5ft wide,and 3ft deep. How much water can be held in Engine 17's water tank?
(L x W x H = Volume) - Answer: 105 ft sq
A tank with a 12ft diameter holds 864 gallons per foot of depth. How many gallons with a tank of 12ft
diameter hold if it's 5ft deep? - Answer: 4,320 gallons
Engine 33 is traveling 351 miles to assist in a mutual aid. They have to drive 216 miles in 4 hours, what is
their average speed? - Answer: 54 miles
There are 6 sections of 100ft wildland hose, and 9 sections of 80ft structural hose. 5 sections of
structural hose fail. What is the total amount of structural hose that failed? - Answer: 400ft failed
Engine carries 1,100ft of 2 1/2 inch, 900ft of 4 inch, and 1,000ft of 4 1/2 inch. If the 4 inch was removed,
what percentage was removed from the total? - Answer: 30%
How many acres were burned? - Answer: 6.88 acres
For a fire on the 4th floor, you need to have 100psi at the nozzle, for each floor above the first floor you
lose 5 psi, for every 100ft of hose you lose 15 psi. There are 400ft of hose used to get to the fire. What is
the total pressure needed at the engine? - Answer: 175 psi
How many cubic feet of water can a Captain expect the tank to hold? - Answer: 1,385
An engine pumps 1,450 gallons per minute, how many gallons will be pumped in 5.5 minutes? (1,450
gals per min x 5.5 minutes = X) - Answer: 7,975 gallons
