More Lessons for Grade 9

Math Worksheets

Videos, worksheets, solutions, and activities to help Algebra students learn about work problems.

How to Solve Algebra Word Problems that involve people working together?

How to Solve Algebra Word Problems: Work

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:

1. 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.

2. 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?

3. 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:

(1) If Tom takes 12 hours to paint a house, what is his rate per hour?

(2) Assume it takes Mary 2/3 of an hour to clean a room. What is her rate per hour?

(3) 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?

Examples:

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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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.