## How to Solve Work Problems Part 1

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.

Work problem:

*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