In these lessons, we will learn how to solve algebra word problems that involve people working together.

**Related Pages**

Work Problems

Math Work Problems

Solving Work Word Problems Using Algebra

More Algebra Lessons

This lesson is appropriate for any Algebra 1 or Algebra 2 student.

**Example:**

It takes Maria ten hours to pick forty bushels of apples. Kyla can pick the same amount in 12 hours.
How long will it take take if they worked together?

**Examples:**

- Working alone, Mofor can harvest a field in 12 hours. Carlos can harvest the same field in 14 hours. Find how long it would take them if they worked together.
- It takes Ted ten hours to harvest a field. Willie can harvest the same field in 15 hours. Find how ling it would take them if they worked together?
- Working alone, it takes Cody ten minutes to sweep a porch. Jacob can sweep the same porch in eight minutes. Find how long it would take them if they worked together?

**Examples:**

- If Tom takes 12 hours to paint a house, what is his rate per hour?
- Assume it takes Mary 2/3 of an hour to clean a room. What is her rate per hour?
- Tom takes 12 hours to paint a house alone, but Don takes 6 hours to paint it. How long would it take if they work together?

**Example:**

It takes Jim 6 days to frame a house, but takes only 4 days if he works with his son. How long
would it take his son, working alone, to frame the house?

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