FireTEAM Math Skills Flashcards

A fire engine is pumping water at a rate of 800 gallons per minute. How much water will the engine pump in 15 minutes?

Answer: 12,000 gallons

To find the total amount of water pumped, you multiply the rate of pumping by the duration. The engine pumps 800 gallons per minute, so over 15 minutes, it will pump 800 gallons/minute * 15 minutes. This calculation results in 12,000 gallons of water.

A fire department has 25 feet of hose. If a firefighter uses 4 feet of the hose to connect to a hydrant, how much hose is remaining for the fire operation?

Answer: 19 feet

To determine the remaining hose, subtract the amount used from the total length available. The firefighter starts with 25 feet of hose and uses 4 feet to connect to a hydrant. Therefore, 25 feet - 4 feet = 19 feet of hose remains for the fire operation.

A fire truck travels 50 miles per hour and needs to reach a fire 120 miles away. How long will it take the truck to arrive?

Answer: 3 hours

To calculate the time it will take, divide the total distance by the speed. The truck needs to travel 120 miles at a speed of 50 miles per hour, so 120 miles / 50 mph equals 2.4 hours. Since 2.4 hours is not an option, and the truck will arrive during the third hour of travel, 3 hours is the closest whole number option that ensures the journey is completed.

A firefighter needs to calculate the amount of water needed to fill a large tank. The tank is 4 feet long, 6 feet wide, and 10 feet deep. What is the volume of the tank? (Use the formula: Volume = Length × Width × Height)

Answer: 240 cubic feet

The volume of a rectangular tank is calculated by multiplying its length, width, and depth (height). Given the dimensions of 4 feet long, 6 feet wide, and 10 feet deep, the volume is 4 feet * 6 feet * 10 feet. This calculation results in 240 cubic feet.

A fire department is planning to distribute water evenly across 3 fire stations. If the department has 900 gallons of water available, how much water will each station receive?

Answer: 300 gallons

To distribute the water evenly among the fire stations, divide the total amount of water available by the number of stations. With 900 gallons of water and 3 fire stations, each station will receive 900 gallons / 3 stations. This calculation results in 300 gallons per station.