The Solving Work Problems Series

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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.

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How to Solve Work Problems Part 3

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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?  Continue reading

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How to Solve Work Problem Part 2

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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.

Problem 2

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?

Solution

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.  Continue reading

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