FCTC FREE FCTC Test Firefighter Mathematical Problems Questions and Answers 3

Question 1

A fire hose discharges water at 250 gallons per minute. How many gallons are discharged in 18 minutes?

Accepted Answer

4,500 gallons

Answer

250 × 18 = 4,500 gallons.

Question 2

A ladder is positioned 8 feet from a wall and reaches 15 feet up the wall. What is the length of the ladder?

Accepted Answer

17 ft

Answer

Using the Pythagorean theorem: √(8² + 15²) = √(64 + 225) = √289 = 17 ft.

Question 3

A fire station budget of $240,000 is divided equally among 6 departments. How much does each department receive?

Accepted Answer

$40,000

Answer

$240,000 ÷ 6 = $40,000 per department.

Question 4

A firefighter runs a 400-meter loop 7 times during training. How many kilometers did the firefighter run?

Accepted Answer

2.8 km

Answer

400 × 7 = 2,800 meters = 2.8 km.

Question 5

A tank holds 3,200 gallons of water. A pump removes water at 80 gallons per minute. How long until the tank is empty?

Accepted Answer

40 minutes

Answer

3,200 ÷ 80 = 40 minutes.

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