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Equations with Rational Expressions in the Real World

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We encounter rational expressions all the time in the real world, often without even realizing it. Now it's your turn to come up with a real-world example from your work or personal life of using an equation with a rational expression to solve a real-world problem.

Please give the example, setup the problem, then solve it, explaining your steps.

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Yes. Rational expressions and instances where we need to solve equations involving rational expressions occur many times in real life. Here are two such examples:

(Example 1) Barn painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x = 5.

Melanie’s one-day ...

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