Answers and Explanations

1. B

   Learning Objective: Approach math test questions strategically

   If you use your mathematics strategies, you don't even need to technically solve this problem to find the answer. You are told the rates at which two officers can patrol a park separately. The correct answer represents how long it would take the two people to patrol the park together, each working at the same rate at which he works alone. If Mark, the faster officer, works completely on his own, he will complete the task in 3 hours. With help, he will take even less time to complete the job, so you can eliminate answer choices (C) and (D), which are greater than 3. Since Kevin is slower than Mark, working together will take longer than half of 3 hours. Since (A) is half of 3, you can eliminate it. That leaves only answer choice (B), which must be correct.

2. A

   Learning Objective: Apply mathematics concepts to law-enforcement scenarios

   First, find the amount of money each officer spent separately. Officer Grey spent (2)($4) = $8. Officer Krevoy spent (2)($3.50) = $7. So, Officer Grey spent $8 – $7 = $1 more.

3. B

   Learning Objective: Apply mathematics concepts to law-enforcement scenarios

   Subtracting the initial $30,000 payment yields $100,000 – $30,000 = $70,000. If this is divided over two payments, then that would make each payment $70,000 ÷ 2 = $35,000.

4. A

   Learning Objective: Calculate area and perimeter

   The total area of the space you’re searching is 300 square blocks: .