### Concept (1)

It is possible to solve word problems when two people are doing a work job together by solving systems of equations. To solve a work word problem, multiply the hourly rate of the two people working together times the time spent working to get the total amount of time spent on the job. Knowledge of solving systems of equations is necessary to solve these types of problems.

### Sample Problems (3)

Need help with "Work Word Problems" problems? Watch expert teachers solve similar problems to develop your skills.

Brooks can mow a lawn in 4 hours. Jeremy could mow the same long twice as fast.

How long would it take while working together?
###### Problem 1
How to solve word problems when 2 people are doing a work job together and there is a fractional answer.

Jessica can paint a room in 14 hours. Lily could paint the same room in 10 hours.

If they work together, how long would it take them to complete the job?
###### Problem 2
How to solve word problems when 2 people are doing a work job together.
###### Problem 3
Algorithm for solving "work" word problems including shared job and individual job completion times