Mathematical Reasoning and Facility Flashcards

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

Answer: 4,500

250 × 18 = 4,500 gallons.

A ladder is 35 feet long and is placed 7 feet from the base of a building. Approximately what percentage of the ladder's length is the horizontal distance from the wall?

Answer: 20%

7 ÷ 35 = 0.20, which equals 20%.

A firefighter earns $28.50 per hour and works 48 hours in a week, with anything over 40 hours paid at 1.5× the regular rate. What is the total weekly pay?

Answer: $1,482

40 × $28.50 = $1,140 + 8 × $42.75 = $342, total $1,482.

A storage room is 12 ft × 15 ft × 8 ft. If one cubic foot equals about 7.48 gallons, approximately how many gallons of water could fill the room?

Answer: 10,771

12 × 15 × 8 = 1,440 cu ft; 1,440 × 7.48 ≈ 10,771 gallons.

If a fire engine travels 4 miles in 6 minutes, what is its speed in miles per hour?

Answer: 40 mph

4 miles / 6 minutes × 60 minutes/hour = 40 mph.

A pump that was running at 60% capacity was increased to 90% capacity. By what percentage did the output increase?

Answer: 50%

The increase is 30 percentage points; 30 ÷ 60 = 0.50, or a 50% increase in output.

Three firefighters share 420 feet of hose equally, then one firefighter gives 15 feet to another. How many feet does the firefighter who gave away hose now have?

Answer: 105

Each starts with 420 ÷ 3 = 140 feet; after giving away 15, one has 140 − 15 = 125 feet.