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

18 gallons

Answer

21 gallons

Answer

27 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

$1,188

Answer

$1,210

Answer

$1,254

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

40%

Answer

50%

Answer

70%

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

125 GPM

Answer

150 GPM

Answer

200 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

280 lbs

Answer

350 lbs

Answer

385 lbs

Question 6

A fire department's response time goal is 6 minutes. Last month, average response time was 7 minutes 45 seconds. By how many seconds did performance exceed the goal?

Accepted Answer

105 seconds

Answer

95 seconds

Answer

100 seconds

Answer

110 seconds