Police Work Mathematics Flashcards

A police vehicle gets 18 miles per gallon. If the officer drove 243 miles on patrol, how many gallons of fuel were used?

Answer: 13.5 gallons

243 ÷ 18 = 13.5 gallons.

A stolen vehicle was reported 45 minutes after it was last seen. If it traveled at an average of 60 mph during that time, what is the maximum radius officers should search from the last known location?

Answer: 45 miles

45 minutes = 0.75 hours; 60 mph × 0.75 = 45 miles.

A department's budget for overtime is $180,000. Each overtime hour costs $45. If 12 officers each work the same number of overtime hours, how many overtime hours can each officer work?

Answer: 333 hours

$180,000 ÷ $45 = 4,000 total hours; 4,000 ÷ 12 ≈ 333 hours per officer.

An evidence locker contains 5 bags of marijuana totaling 3.2 kg, 2 bags totaling 1.85 kg, and 1 bag of 0.95 kg. What is the total weight of marijuana in grams?

Answer: 6,000 g

3.2 + 1.85 + 0.95 = 6.0 kg = 6,000 grams.

During a traffic checkpoint, officers screened 480 vehicles in 8 hours. In the next 3 hours, they screened vehicles at a rate 25% faster. How many vehicles did they screen in those 3 hours?

Answer: 225

Base rate = 480/8 = 60 vehicles/hr; 25% faster = 75/hr; 75 × 3 = 225 vehicles.

A prisoner transport van holds 8 inmates. If a county jail needs to transfer 53 inmates to a state prison, how many full trips are required and how many inmates are on the last trip?

Answer: 6 full trips, 5 inmates

53 ÷ 8 = 6 remainder 5; so 6 full trips plus a final trip with 5 inmates.

A police officer earns a base salary of $52,000 per year with a 6.5% annual raise. What will be the officer's salary after the raise?

Answer: $55,380

$52,000 × 0.065 = $3,380; $52,000 + $3,380 = $55,380.