Understanding Painter's Work Rate: A Simple Breakdown

How much of a job can the first painter complete if he can do it in twelve hours?

• A. 1/12 of the job per hour
• B. 1/10 of the job per hour
• C. 1/8 of the job per hour
• D. 1/6 of the job per hour

Answer: (A)

The task involves understanding the concept of work rate, which is determined by the amount of work completed over time. If the first painter can complete the entire job in twelve hours, we need to determine how much of the job he accomplishes in one hour. To find the work rate, we take the total job (which can be considered as 1 whole job) and divide it by the total time it takes to complete it. Therefore, if the painter completes 1 job in 12 hours, his work rate can be calculated as follows: 1 job ÷ 12 hours = 1/12 of the job per hour. This means that every hour, the painter completes one-twelfth of the total job. Understanding this relationship between total work and time allows us to determine the rate of work done in a systematic way. Hence, the rate of 1/12 of the job per hour accurately reflects the painter's work efficiency based on the total time required to complete the job.

When you think about completing a job, ever wonder how you can break it down into manageable parts? Whether it's painting a fence or tackling complex equations, understanding work rates can make all the difference. Let’s chat a bit about a painter who takes twelve hours to finish his task and see how we can apply this to sharpening our skills for the Officer Aptitude Rating (OAR) test.

So here’s the scoop: if this painter wraps up a job in twelve hours, how much of that job does he complete in just one hour? This is not just a rote calculation; it’s a concept that pops up frequently in various problem-solving situations, especially on tests like the OAR.

To crack this, you’ll want to set it up like a fraction. Imagine the entire job is represented as a whole, or “1.” Now, since it takes the painter 12 hours to get the job done, you simply divide 1 by 12. The math looks like this:

[

\text{Amount completed per hour} = \frac{1 \text{ job}}{12 \text{ hours}} = \frac{1}{12} \text{ of the job per hour}

]

There you have it! This calculation shows that he can finish 1/12 of the job in one hour. It’s almost like slicing a delicious pie into twelve equally tasty pieces—each hour, the painter nibbles away at one slice until the pie (or the job) is fully consumed.

Now, what’s the takeaway here? Understanding how to break down the workload into hourly segments can not only prepare you for your OAR exam, but also equip you with practical knowledge for managing time effectively in any task. Picture it as a mini-project-management lesson; you take a big goal and chunk it down into bite-sized tasks.

This method doesn’t just apply to painting; it can resonate in countless scenarios. From organizing your study time for the OAR to planning a community event, the art of breaking things down is essential. Why not take a moment to consider how you can apply this idea in your daily life? It could save you from feeling overwhelmed, whether you’re prepping for an aptitude test or scrum-diddly-umpciously building that DIY project you’ve had on your to-do list for ages.

In conclusion, grasping how much work can be done in a specific timeframe forms a critical piece of your preparation puzzle for the OAR test. So whenever you face a task, big or small, remember: it’s all about figuring out your working rate and how you can strategically get things done. Happy studying!