FCTC Firefighter Mathematical Problems 5

Question 1

A fire hose delivers water at 150 gallons per minute. How many gallons are delivered in 2 hours and 15 minutes?

Accepted Answer

20,250 gallons

Answer

18,750 gallons

Answer

16,500 gallons

Answer

22,500 gallons

Question 2

A ladder is placed against a building with its base 8 feet from the wall and reaches a height of 15 feet. What is the length of the ladder?

Accepted Answer

17 feet

Answer

16 feet

Answer

18 feet

Answer

19 feet

Question 3

A fire station receives 12 alarms on Monday, 9 on Tuesday, 15 on Wednesday, 6 on Thursday, and 18 on Friday. What is the average number of alarms per day?

Accepted Answer

12 alarms

Answer

10 alarms

Answer

11 alarms

Answer

13 alarms

Question 4

A chemical foam concentrate is mixed at a 3% ratio. How many gallons of concentrate are needed to make 400 gallons of finished foam solution?

Accepted Answer

12 gallons

Answer

8 gallons

Answer

10 gallons

Answer

14 gallons

Question 5

A building floor plan measures 120 feet by 85 feet. What is the total square footage?

Accepted Answer

10,200 sq ft

Answer

9,600 sq ft

Answer

9,800 sq ft

Answer

10,400 sq ft

Question 6

A firefighter earns $22.50 per hour and works a 56-hour week. She receives 1.5× overtime pay for all hours over 40. What is her total gross pay for the week?

Accepted Answer

$1,440.00

Answer

$1,170.00

Answer

$1,260.00

Answer

$1,350.00

Question 7

A tanker truck holds 3,500 gallons of water. A pumper is drafting from it at 500 gallons per minute while also supplying a hose line at 250 gallons per minute. How many minutes before the tanker is empty?

Accepted Answer

4.7 minutes

Answer

5.0 minutes

Answer

6.2 minutes

Answer

7.0 minutes