FCTC Firefighter Mathematical Problems 3

Question 1

A fire department uses 3 gallons of foam concentrate per 100 gallons of water. How much concentrate is needed for 800 gallons of water?

Accepted Answer

24 gallons

Answer

3 gallons per 100 gallons = 3% ratio. 3% × 800 = 24 gallons.

Question 2

A firefighter earns $22.00 per hour for the first 40 hours in a week. Hours over 40 are paid at straight time (no overtime premium). She works 56 hours. What are her total gross earnings?

Accepted Answer

$1,232

Answer

56 hours × $22/hr = $1,232 (straight time for all hours).

Question 3

A fire burns through 2,400 square feet of a 6,000 square-foot warehouse. What percentage of the warehouse was NOT damaged?

Accepted Answer

60%

Answer

Damaged: 2,400 ÷ 6,000 = 40%. Undamaged: 100% − 40% = 60%.

Question 4

A tanker holds 2,000 gallons of water. It delivers water at 500 GPM and takes 8 minutes to travel to the fill site and 8 minutes to return. What is the effective flow rate during a sustained tanker shuttle?

Accepted Answer

100 GPM

Answer

Dump time: 2,000 ÷ 500 = 4 min. Cycle time: 4 + 8 + 8 = 20 min. Effective rate: 2,000 ÷ 20 = 100 GPM.

Question 5

Ladder Company 7 has 4 firefighters. Engine Company 3 has 3 firefighters. Rescue 1 has 2 firefighters. If each firefighter carries 35 lbs of PPE, what is the total weight of PPE carried by all personnel on scene?

Accepted Answer

315 lbs

Answer

Total personnel: 4 + 3 + 2 = 9. Total PPE weight: 9 × 35 = 315 lbs.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC Firefighter Mathematical Problems 3