NFSI Mathematical Reasoning and Facility 4 — Questions and Answers
Question 1: A rescue team covers 2.5 miles of terrain in 45 minutes. At this rate, how long will it take them to cover 10 miles?
- 2 hours
- 2 hours 30 minutes
- 3 hours (Correct answer)
- 3 hours 30 minutes
Correct answer: 3 hours
10 ÷ 2.5 = 4 intervals of 45 minutes = 180 minutes = 3 hours.
Question 2: A fire station's budget is $840,000. If equipment costs account for 37.5% of the budget, how much is spent on equipment?
- $294,000
- $315,000 (Correct answer)
- $336,000
- $350,000
Correct answer: $315,000
840,000 × 0.375 = $315,000.
Question 3: A water tank drains at 75 gallons per minute. A pump adds water at 120 gallons per minute. If the tank has 600 gallons initially, how many gallons will it contain after 10 minutes?
- 850
- 950
- 1,050 (Correct answer)
- 1,150
Correct answer: 1,050
Net gain = 120 − 75 = 45 gal/min; after 10 min = 450 gallons added; 600 + 450 = 1,050 gallons.
Question 4: Firefighters laid hose in three sections measuring 150 ft, 225 ft, and 175 ft. They then removed a 50-ft section for a different deployment. What is the total remaining hose length?
- 450 ft
- 475 ft
- 500 ft (Correct answer)
- 550 ft
Correct answer: 500 ft
150 + 225 + 175 = 550 ft; 550 − 50 = 500 ft.
Question 5: A fire extinguisher weighing 12 lbs is placed on a shelf 5 feet from the floor. A second extinguisher weighing 18 lbs is on a shelf 3 feet from the floor. What is the combined weight of both extinguishers?
- 25 lbs
- 28 lbs
- 30 lbs (Correct answer)
- 33 lbs
Correct answer: 30 lbs
12 + 18 = 30 lbs (shelf heights are irrelevant to total weight).
Question 6: If Station A handles 20% more calls than Station B, and Station B handles 250 calls per month, how many calls does Station A handle?
- 270
- 280
- 300 (Correct answer)
- 310
Correct answer: 300
250 × 1.20 = 300 calls per month.
Question 7: A rectangular burn area measures 800 meters by 600 meters. What is the perimeter of the burn area in meters?
- 1,400
- 2,400
- 2,800 (Correct answer)
- 3,200
Correct answer: 2,800
Perimeter = 2 × (800 + 600) = 2 × 1,400 = 2,800 meters.
NFSI Mathematical Reasoning and Facility 4
A rescue team covers 2.5 miles of terrain in 45 minutes.
At this rate, how long will it take them to cover 10 miles?