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# An Application of a Rational Function

An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task.

Estimate how long it takes you to complete a task of your choice (house cleaning, mowing, etc.) in a given week. Suppose that Joe is slower than you at the given task and takes three times as long as you do. If you work together, how long would it take you to complete the task?

Include the type of job, the time it takes you and Joe individually to complete the job, and the calculations needed to show how long it would take to complete the job if you worked together. Include units with the answer.

#### Solution Preview

Let's say that you mow the lawn for 1 hour every week. Joe is slower than you, so he takes 3 hours to mow the same lawn ...

#### Solution Summary

This solution identifies simple calculations for determining the amount of time it would take to complete a job while working alongside another individual. A step by step methodology of how to use a rational function is described.

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