FCTC Test Firefighter Mathematical Problems Questions and Answers 4

Question 1

A pump discharges 180 gallons per minute from a 1,200-gallon tank. How many minutes until the tank is empty?

Accepted Answer

6 minutes

Answer

1,200 ÷ 180 = 6.67, so approximately 6 full minutes before the tank is empty.

Question 2

A fire crew of 8 firefighters completes a task in 3 hours. How long would it take 12 firefighters to complete the same task?

Accepted Answer

2 hours

Answer

Total work = 8 × 3 = 24 person-hours; 24 ÷ 12 = 2 hours.

Question 3

A fire station's monthly water bill averages $340. What is the annual water bill?

Accepted Answer

$4,080

Answer

$340 × 12 = $4,080 per year.

Question 4

Hose friction loss is calculated as 2 PSI per 100 feet of 2½-inch hose. What is the friction loss for 350 feet of hose?

Accepted Answer

7 PSI

Answer

2 × (350/100) = 2 × 3.5 = 7 PSI.

Question 5

A firefighter's SCBA air cylinder holds 45 cubic feet of air. At a breathing rate consuming 1.5 cubic feet per minute, how long will the air last?

Accepted Answer

30 minutes

Answer

45 ÷ 1.5 = 30 minutes of air supply.

FCTC Test Practice Test