FCTC FREE FCTC Test Firefighter Mathematical Problems Questions and Answers 4

Question 1

A fire engine travels at 45 mph for 20 minutes to reach a scene. How many miles does it travel?

Accepted Answer

15 miles

Answer

20 minutes = 1/3 hour; 45 × (1/3) = 15 miles.

Question 2

A rescue rope is 150 feet long. If 37.5 feet are used, what percentage of the rope remains?

Accepted Answer

75%

Answer

Remaining = 112.5 ft; 112.5 / 150 × 100 = 75%.

Question 3

A fire department responded to 312 calls last year. If 26% were false alarms, how many were actual emergencies?

Accepted Answer

231

Answer

312 × 0.74 = 230.88 ≈ 231 actual emergencies.

Question 4

Water weighs approximately 8.34 pounds per gallon. How much does 200 gallons weigh?

Accepted Answer

1,668 lbs

Answer

8.34 × 200 = 1,668 pounds.

Question 5

A hose line loses 5 psi of pressure for every 100 feet of hose. How much pressure is lost over 600 feet?

Accepted Answer

30 psi

Answer

5 × (600/100) = 5 × 6 = 30 psi.

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