FCTC FCTC Test Firefighter Mathematical Problems Questions and Answers 3

Question 1

A hose discharges 125 gallons per minute. How many gallons are discharged in 48 minutes?

Accepted Answer

6,000 gallons

Answer

125 × 48 = 6,000 gallons.

Question 2

A ladder is placed so its base is 8 feet from a wall and reaches 15 feet up the wall. What is the length of the ladder?

Accepted Answer

17 feet

Answer

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

Question 3

A fire engine tank holds 500 gallons. If the pump discharges water at 250 GPM, how long (in minutes) before the tank is empty?

Accepted Answer

2 minutes

Answer

500 ÷ 250 = 2 minutes.

Question 4

A building is 60 feet tall. If a firefighter can climb 12 feet per minute, how long will it take to reach the top?

Accepted Answer

5 minutes

Answer

60 ÷ 12 = 5 minutes.

Question 5

A fire station responds to 84 calls in 4 weeks. What is the average number of calls per day (7-day week)?

Accepted Answer

3 calls

Answer

84 calls ÷ 28 days = 3 calls per day.

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