NTN Mathematics and Arithmetic 2

Question 1

A suspect fled on foot at 8 mph. An officer began pursuit 5 minutes later at 12 mph. How many minutes will it take the officer to catch the suspect?

Accepted Answer

10 minutes

Answer

The suspect's 5-minute head start at 8 mph = 0.667 miles; closing speed is 4 mph; 0.667 ÷ 4 = ~10 minutes.

Question 2

An officer writes 3 reports per day, 5 days a week. How many reports does the officer write in a 30-day month (assuming 5-day work weeks)?

Accepted Answer

66 reports

Answer

30 days ÷ 7 × 5 ≈ 21.4 workdays ≈ 22 days × 3 = 66 reports.

Question 3

A department budget of $500,000 allocates 40% to salaries, 30% to equipment, and the rest to operations. How much goes to operations?

Accepted Answer

$150,000

Answer

100% − 40% − 30% = 30%; 30% of $500,000 = $150,000.

Question 4

If 3 officers can search 9 rooms in 90 minutes, how long would it take 1 officer to search 9 rooms?

Accepted Answer

270 minutes

Answer

3 officers take 90 min, so 1 officer takes 3 × 90 = 270 minutes.

Question 5

A recruit class started with 45 cadets. After training, 80% graduated. How many cadets graduated?

Accepted Answer

36 cadets

Answer

80% of 45 = 0.80 × 45 = 36 cadets.

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