FCTC Firefighter Math Applications Questions and Answers 3

Question 1

Engine pressure must supply 100 psi at the nozzle. Friction loss is 25 psi and there is no elevation change. What is the required pump discharge pressure?

Accepted Answer

125 psi

Answer

75 psi

Answer

100 psi

Answer

150 psi

Question 2

A crew must stretch 250 feet of 1.75-inch hose. Each 50-foot section weighs 20 lbs. How much hose weight will the crew carry?

Accepted Answer

100 lbs

Answer

80 lbs

Answer

120 lbs

Answer

150 lbs

Question 3

A water tender carries 3,000 gallons and makes 3 trips, delivering 2,400 gallons each trip and retaining 600 gallons as a reserve. How many total gallons are delivered?

Accepted Answer

7,200

Answer

6,000

Answer

8,400

Answer

9,000

Question 4

A building is 3 stories tall and each story is 10 feet high. What elevation pressure in psi must be added to the pump discharge pressure? (Use 0.434 psi per foot)

Accepted Answer

13.0 psi

Answer

9.1 psi

Answer

15.0 psi

Answer

17.2 psi

Question 5

During a drill, a firefighter completes a 400-meter run in 80 seconds. What is their average speed in meters per second?

Accepted Answer

5 m/s

Answer

4 m/s

Answer

6 m/s

Answer

8 m/s

Question 6

If a 100-foot aerial ladder is extended at a 75-degree angle, approximately what vertical height does it reach? (sin 75 degrees equals approximately 0.97)

Accepted Answer

97 feet

Answer

75 feet

Answer

90 feet

Answer

100 feet