Work problems involves two or more persons or machines doing a particular task. In this type of problems, the rates of the persons or machines are usually given and the amount of time needed to complete a task is usually asked. Below are the posts that discuss in details these types of problems.
How to Solve Work Problems Part 1 discusses the details of the basic concepts like how the equations are formed and why the equations are equated to 1.
How to Solve Work Problems Part 2 discusses basic examples of work problems. It discusses how two hoses can fill a pool when they are opened simultaneously. It also discusses how a person can do a task alone given the rate of two persons working together.
How to Solve Work Problems Part 3 discusses two persons who worked together and after a while, the other person stopped. It also discusses the problem about how many hours a pool is filled if both the inlet and outlet pipes are open.
The Solving Work Problems Series is one of the series of Math Word Problem Series in Algebra of Ph Civil Service Exam Reviewer.
This is the third part of the Solving Work Problems Series. The first part of this series discussed in detail the concept behind work problems and the second part discussed the basic work problems and their solutions.
In this post, we discuss two more work problems. The first problem is about two persons who started to work together and after a while, the other person stopped. The second problem is about filling a pool whose outlet pipe is left open.
Sample Problem 4
Jack can dig a ditch alone in 5 days, while John alone can do it in 8 days. The two of them started working together, but after two days, Jack left the job. How many more days do John need to work to finish the job alone? » Read more
This is the second part of the Solving Work Problems Series. In the previous post, we have discussed in detail the concept behind how to solve work problems. In this post, we are going to learn more examples and solve more complicated problems.
A hose can fill a pool in 3 hours, while a smaller hose can fill it in 5 hours. If the hoses are opened together the same time, how many hours will they be able to fill the pool?
House A can fill the pool in 3 hours, so it can fill 1/3 of the pool in 1 hour.
House A can fill the pool in 5 hours, so it can fill 1/5 of the pool in 1 hour.
Together, they can fill 1/3 + 1/5 of the pool in 1 hour. » Read more
Although there are many topics that I have not discussed yet, I have been repeatedly receiving requests for topics that are already in this blog. Currently, I am trying to update the pages which contains the list of topics by categories. My apologies but my schedule is a bit tight for the next few months.
Anyway, if you want to see if the topic that you are looking for is already in this blog, you can do the following:
1.) Explore the Pages
As of now, not all posts are listed on the pages, but I am slowly updating them. » Read more
This is the first part of the Solving Working Problems Series. In this post, we are going to discuss in details the basics of work problems.
Work problems usually involve the time for two or more persons or machines to complete the same job given the rate that they can work. For discussion purposes, let us have the following example.
Ariel can paint a house in 5 days and Ben can do the same job in 6 days. In how many days can they complete the job if they work together?
Discussion and Scratch Work
If Ariel can finish the job in 5 days, then if he were to work one day, he would have completed 1/5 of the job. If he works for two days, then he would have completed 2/5 of the job. Similarly, if Ben can finish the same job in 6 days, if he were to work for one day, then he would have completed 1/6 of the job. If he works for 2 days, he would have completed 2/6 of the job (or 1/3 of the job if reduced to lowest terms). » Read more
The Civil Service Vocabulary series is a series of vocabulary review for the Civil Service Examination. In this series, I have collected words that usually come out in examinations, wrote their meanings and created sample sentences about them in order for you to remember them easily. Most of the definitions were taken from online dictionaries, although I have simplified many of them for easier reading.
Remember: Being good in vocabulary does not just come overnight (read 5 Ways to Improve Your Vocabulary). It is an accumulation of the words what you have read over time. » Read more
This is the eleventh part of the Civil Service Vocabulary Review series of Ph Civil Service Reviewer. In this series, we discuss the words that commonly appear in English vocabulary examinations. The other parts of this series can be found in this blog’s English page.
Most of the meanings of the words below were taken from Dictionary.com and Merriam Webster. I have simplified some of them for ease of reading.
Vocabulary Review for the Civil Service Exam
1. appease – to ease, to calm, to satisfy
To appease the angry passengers due to a 5-hour flight delay, the airline gave them free meals. » Read more
As you have observed, I am a new writer here at Ph Civil Service. I will be writing articles on Grammar and Correct Usage. 🙂
In the past month, I have discussed subject-verb agreement, how to identify pronouns, how to use the personal pronouns I and me, and contractions. Below is a mock quiz of all these topics.
Good luck. 🙂 » Read more