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Working Together - Rational Equations

## Working Together - Rational Equations

** Description:**The main purpose of this lab is to understand work rates and how working together affects the time it takes to complete a large task.

The groups will time a “fast” worker, a “slow” worker, and will calculate the time it will take these two workers to complete the job together. Groups will then compare their calculated estimate to the actual time.

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**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- College & Beyond

**Instructional Component Type(s):**- Activity: Experiment/Lab

- From: San Diego Area Knowledge Exchange for Developmental Math (SAKE)
- Contributed By: Guillermo Alvarez

Hands-on In-class group activity

Time required: 20+ minutes

Materials (for each group):

- 12 small objects: pencils, pieces of chalk, etc.
- 2 desks spaced 8 to 10 feet apart
- clock or stopwatch: measurement to the nearest second is okay

The groups will time a "Âfast" worker, a "Âslow" worker, and will calculate the time it will take these two workers to complete the job together. Groups will then compare their calculated estimate to the actual time.

- Each group needs 2 movers. One mover should be "quick" and one should be "slow." It is important that the workers are consistent about their pace throughout the job.
- Each mover will individually complete the task of moving the 12 objects (one by one) from one desk to the other. The timekeepers will measure the time to complete the job in seconds. The movers then work together to complete the job.
- Each group will perform calculations to see how long it should take the two workers to complete the task working together and compare to the trial value.