FCTC Firefighter Math Applications Questions and Answers 5

Question 1

A foam solution requires a 3% concentrate mixture. How many gallons of foam concentrate are needed to make 200 gallons of solution?

Accepted Answer

6 gallons

Answer

Concentrate = 200 × 0.03 = 6 gallons.

Question 2

An engine travels at an average speed of 40 mph to a call 3 miles away. How many minutes does the response take?

Accepted Answer

4.5 min

Answer

Time = (3 ÷ 40) hours = 0.075 hr × 60 = 4.5 minutes.

Question 3

A firefighter burns approximately 600 calories per hour during active firefighting. How many calories are burned during a 45-minute suppression operation?

Accepted Answer

450 cal

Answer

600 × (45/60) = 600 × 0.75 = 450 calories.

Question 4

A 2.5-inch hose has a flow rate of 250 gpm. If the same pump pressure is used, a 3-inch hose carries approximately 30% more flow. What is the 3-inch hose flow rate?

Accepted Answer

325 gpm

Answer

250 × 1.30 = 325 gpm.

Question 5

A department's budget for overtime is $120,000 per year. Overtime pay is $45 per hour. How many total overtime hours can be funded?

Accepted Answer

2,667 hrs

Answer

120,000 ÷ 45 ≈ 2,667 hours.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC Firefighter Math Applications Questions and Answers 5