Worksheets · Algebra 2

Work word problems worksheet for Algebra 2

Somebody who takes six hours does a sixth of the job each hour. Rates are what add when two people work together, which is why the answer is never the average of the two times.

Also taught in Algebra 1, at its own level and with its own examples.

Select your difficulty

Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Work Word Problems

Date Period

Answer each question.

  1. A printer can print an order in 2 hours, and a second printer can do it in 8 hours. How long does it take them working together?
  2. A crew can clear a field in 12 hours, and a second crew can do it in 6 hours. How long does it take them working together?
  3. A painter can paint a room in 6 hours, and a second painter can do it in 3 hours. How long does it take them working together?
  4. A pump can fill a tank in 9 hours, and a second pump can do it in 6 hours. How long does it take them working together?
  5. A painter can paint a room in 2 hours, and a second painter can do it in 7 hours. How long does it take them working together?
  6. A crew can clear a field in 2 hours, and a second crew can do it in 5 hours. How long does it take them working together?
  7. A printer can print an order in 2 hours, and a second printer can do it in 10 hours. How long does it take them working together?
  8. A pump can fill a tank in 4 hours, and a second pump can do it in 10 hours. How long does it take them working together?
  9. A printer can print an order in 10 hours, and a second printer can do it in 20 hours. How long does it take them working together?
  10. A painter can paint a room in 12 hours, and a second painter can do it in 8 hours. How long does it take them working together?
  11. A crew can clear a field in 4 hours, and a second crew can do it in 6 hours. How long does it take them working together?
  12. A pump can fill a tank in 12 hours, and a second pump can do it in 4 hours. How long does it take them working together?
  13. A painter can paint a room in 10 hours, and a second painter can do it in 7 hours. How long does it take them working together?
  14. A pump can fill a tank in 6 hours, and a second pump can do it in 20 hours. How long does it take them working together?
  15. A crew can clear a field in 9 hours, and a second crew can do it in 7 hours. How long does it take them working together?
  16. A printer can print an order in 9 hours, and a second printer can do it in 3 hours. How long does it take them working together?
  17. A painter can paint a room in 10 hours, and a second painter can do it in 12 hours. How long does it take them working together?
  18. A pump can fill a tank in 5 hours, and a second pump can do it in 4 hours. How long does it take them working together?
  19. A printer can print an order in 3 hours, and a second printer can do it in 4 hours. How long does it take them working together?
  20. A crew can clear a field in 5 hours, and a second crew can do it in 7 hours. How long does it take them working together?

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Work Word ProblemsAnswer keyVersion 1

Date Period

Answer each question.

  1. A printer can print an order in 2 hours, and a second printer can do it in 8 hours. How long does it take them working together?85 hours
  2. A crew can clear a field in 12 hours, and a second crew can do it in 6 hours. How long does it take them working together?4 hours
  3. A painter can paint a room in 6 hours, and a second painter can do it in 3 hours. How long does it take them working together?2 hours
  4. A pump can fill a tank in 9 hours, and a second pump can do it in 6 hours. How long does it take them working together?185 hours
  5. A painter can paint a room in 2 hours, and a second painter can do it in 7 hours. How long does it take them working together?149 hours
  6. A crew can clear a field in 2 hours, and a second crew can do it in 5 hours. How long does it take them working together?107 hours
  7. A printer can print an order in 2 hours, and a second printer can do it in 10 hours. How long does it take them working together?53 hours
  8. A pump can fill a tank in 4 hours, and a second pump can do it in 10 hours. How long does it take them working together?207 hours
  9. A printer can print an order in 10 hours, and a second printer can do it in 20 hours. How long does it take them working together?203 hours
  10. A painter can paint a room in 12 hours, and a second painter can do it in 8 hours. How long does it take them working together?245 hours
  11. A crew can clear a field in 4 hours, and a second crew can do it in 6 hours. How long does it take them working together?125 hours
  12. A pump can fill a tank in 12 hours, and a second pump can do it in 4 hours. How long does it take them working together?3 hours
  13. A painter can paint a room in 10 hours, and a second painter can do it in 7 hours. How long does it take them working together?7017 hours
  14. A pump can fill a tank in 6 hours, and a second pump can do it in 20 hours. How long does it take them working together?6013 hours
  15. A crew can clear a field in 9 hours, and a second crew can do it in 7 hours. How long does it take them working together?6316 hours
  16. A printer can print an order in 9 hours, and a second printer can do it in 3 hours. How long does it take them working together?94 hours
  17. A painter can paint a room in 10 hours, and a second painter can do it in 12 hours. How long does it take them working together?6011 hours
  18. A pump can fill a tank in 5 hours, and a second pump can do it in 4 hours. How long does it take them working together?209 hours
  19. A printer can print an order in 3 hours, and a second printer can do it in 4 hours. How long does it take them working together?127 hours
  20. A crew can clear a field in 5 hours, and a second crew can do it in 7 hours. How long does it take them working together?3512 hours

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

One painter takes 6 hours and another takes 3 hours. How long together?

  1. The first does a sixth an hour, the second a third.
  2. Together that is a sixth plus a third, which is a half an hour.
  3. So the whole job takes 2 hours.

The answer is 2 hours.

Where students go wrong

Averaging the two times. Six hours and three hours does not give four and a half: two people are always faster than either alone, so the answer has to be under the smaller of the two.

Also called work rate problems, working together problems, pipes filling a tank or combined work.

What you can put on this worksheet

Work problems
A printer can print an order in 12 hours. What fraction of the job is done in 9 hours? → 34
Decimal times
Lee can mow the field alone in 25.9 minutes. With Priya helping, it takes 8.77 minutes. How long would Priya take alone? Round to the nearest hundredth. → 13.26 minutes

Questions about these worksheets

Yes. Every work word problems sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 2 is usually taken around 10th or 11th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the work word problems questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 2: work problems and decimal times. Tick as many as you want and set how many of each, or let it spread them evenly.

Averaging the two times. Six hours and three hours does not give four and a half: two people are always faster than either alone, so the answer has to be under the smaller of the two.