High School

We appreciate your visit to Zeke and Lorenzo are both mechanics at a shop that performs oil changes They are competing to see who can complete the most oil changes. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Zeke and Lorenzo are both mechanics at a shop that performs oil changes. They are competing to see who can complete the most oil changes in one day.

- Zeke has already completed 6 oil changes and can finish more at a rate of 2 oil changes per hour.
- Lorenzo just started his shift and can complete 4 oil changes every hour.

At some point during the day, Zeke and Lorenzo will have completed the same number of oil changes. How many oil changes will each have completed, and how long will that take?

Answer :

Final answer:

Zeke and Lorenzo will each have done 1 and 2 oil changes respectively when they are tied, and it will take them 0.5 hours to reach that point.

Explanation:

To determine the number of oil changes Zeke and Lorenzo will each have done when they are tied, we need to find the point at which their total number of oil changes is the same. Let's assume it takes 'x' hours for them to be tied.

  1. Zeke completes 2 oil changes per hour, so in 'x' hours he will have done 2x oil changes.
  2. Lorenzo completes 4 oil changes per hour, so in 'x' hours he will have done 4x oil changes.
  3. To find the point at which they are tied, we set the two equations equal to each other: 2x = 4x.
  4. By solving the equation, we find that x = 0.5. Therefore, they will be tied after 0.5 hours.
  5. Substituting x back into the equations, we find that Zeke will have done 2(0.5) = 1 oil change and Lorenzo will have also done 4(0.5) = 2 oil changes when they are tied.

So when Zeke and Lorenzo are tied, Zeke will have done 1 oil change and Lorenzo will have done 2 oil changes. It will take 0.5 hours for them to reach this point.

Learn more about oil changes here:

https://brainly.com/question/32060608

#SPJ11

Thanks for taking the time to read Zeke and Lorenzo are both mechanics at a shop that performs oil changes They are competing to see who can complete the most oil changes. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada