Explore BrainMass

Equations with Rational Expressions in the Real World

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.

Solution Preview

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 ...