# Work distribution and equation solving.

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Solve using the Gaussian Elimination and show all work.

Mike, Joe and Bill are Painting a fence. The painting can be finished if Mike and Joe work together for 4 hours and Bill works alone for 2 hours, or if Mike and Joe work together for 2 hours, and Bill works alone for 5 hours, or if Mike works alone for 6 hours, Joe works alone for 2 hours and Bill works alone for 1 hour. How much time would it take each man to paint the entire fence by himself?

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#### Solution Preview

Lets denote by x the fraction of the fence each man paints in a single hour.

For Mike it is xm, For ...

#### Solution Summary

The solution helps the student make the connection between the initial wording of the problem to the final equations needed to solve the problem.

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