NTN Police Police Work Mathematics 2

Question 1

Skid marks at a collision scene measure 120 feet. Using the skid mark formula S = √(30 × d × f) where f = 0.70 (friction coefficient for a wet road), what is the approximate pre-braking speed of the vehicle?

Accepted Answer

45 mph

Answer

S = √(30 × 120 × 0.70) = √(2520) ≈ 50.2 mph, so approximately 50 mph.

Question 2

An officer works a 10-hour shift. They spend 35% of the shift on patrol, 25% on calls, 20% on report writing, and 10% on court time. How many hours are spent on patrol?

Accepted Answer

3.5 hours

Answer

35% of 10 hours = 0.35 × 10 = 3.5 hours on patrol.

Question 3

A department has a 1:500 officer-to-resident ratio goal. If a city has 125,000 residents, how many officers does the department need to meet this goal?

Accepted Answer

250

Answer

125,000 ÷ 500 = 250 officers needed to meet the 1:500 ratio.

Question 4

Officers are distributing patrol hours across three precincts based on call volume. Precinct A handles 40% of calls, Precinct B handles 35%, and Precinct C handles 25%. If the department allocates 2,000 patrol hours per month, how many hours go to Precinct B?

Accepted Answer

700 hours

Answer

35% of 2,000 = 0.35 × 2,000 = 700 hours allocated to Precinct B.

Question 5

An officer drives 12 miles to a call at an average speed of 48 mph (with emergency lights). How many minutes does the response take?

Accepted Answer

15 minutes

Answer

Time = Distance ÷ Speed = 12 ÷ 48 = 0.25 hours = 0.25 × 60 = 15 minutes.

(NTN Police) National Testing Network Police Test Practice Test

(NTN Police) National Testing Network Police Test Practice Test

NTN Police Police Work Mathematics 2