A security guard walks the equivalent of six city blocks when he makes a circuit around the building. If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building?

A security guard walks the equivalent of six city blocks when he makes a circuit around the building. If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building?

• A. 20.00 minutes
• B. 3.75 minutes
• C. 22.50 minutes
• D. 7.5 minutes

Answer: (C)

To determine how long it will take the security guard to complete a circuit around the building, we first need to figure out his walking speed in terms of blocks per minute. The guard walks eight city blocks in 30 minutes. To find his pace per minute, we can calculate: \[ \text{Blocks per minute} = \frac{8 \text{ blocks}}{30 \text{ minutes}} = \frac{8}{30} = \frac{4}{15} \text{ blocks per minute} \] Now, knowing he needs to walk a total of six city blocks, we can determine how many minutes it will take by using the formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] Substituting the values we have: \[ \text{Time} = \frac{6 \text{ blocks}}{\frac{4}{15} \text{ blocks per minute}} = 6 \times \frac{15}{4} = \frac{90}{4} = 22.5 \text{ minutes} \] Thus, it will take him 22.5 minutes to complete a circuit around the building. This reasoning

To determine how long it will take the security guard to complete a circuit around the building, we first need to figure out his walking speed in terms of blocks per minute.

The guard walks eight city blocks in 30 minutes. To find his pace per minute, we can calculate:

[

\text{Blocks per minute} = \frac{8 \text{ blocks}}{30 \text{ minutes}} = \frac{8}{30} = \frac{4}{15} \text{ blocks per minute}

]

Now, knowing he needs to walk a total of six city blocks, we can determine how many minutes it will take by using the formula:

[

\text{Time} = \frac{\text{Distance}}{\text{Speed}}

]

Substituting the values we have:

[

\text{Time} = \frac{6 \text{ blocks}}{\frac{4}{15} \text{ blocks per minute}} = 6 \times \frac{15}{4} = \frac{90}{4} = 22.5 \text{ minutes}

]

Thus, it will take him 22.5 minutes to complete a circuit around the building. This reasoning