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What is the patrol speed if the target speed is 10 mph and the closing speed is 35 mph?

  1. 25 mph

  2. 45 mph

  3. 35 mph

  4. 10 mph

The correct answer is: 45 mph

To determine the patrol speed when given the target speed and the closing speed, one must understand the relationship between these three variables. In this scenario, the target speed is the speed at which the vehicle being pursued is traveling, which is 10 mph. The closing speed is the rate at which the distance between the patrol vehicle and the target vehicle is decreasing, which is 35 mph. The patrol speed can be calculated using the closing speed formula: \[ \text{Closing Speed} = \text{Patrol Speed} - \text{Target Speed} \] Using the values from the question: - Closing Speed = 35 mph - Target Speed = 10 mph Rearranging the formula to solve for patrol speed gives us: \[ \text{Patrol Speed} = \text{Closing Speed} + \text{Target Speed} \] \[ \text{Patrol Speed} = 35 \, \text{mph} + 10 \, \text{mph} \] \[ \text{Patrol Speed} = 45 \, \text{mph} \] Therefore, the correct answer is 45 mph. This calculation illustrates how the closing speed accounts for both the target's speed and