Adding and Subtracting Rational Expression - Problem 5

A common type of word problem in math is called a "work" word problem, where you're asked to find the total time it takes for two individuals to finish a job together, or perhaps if you know the time together, then how long it would take one individual. One way to set up a rational equation to solve this is to write the part person 1 can do in one hour times total time, plus the part person 2 can do in one hour times the total time, and set it equal to one. You'll need to find a common denominator and simplify the left side, but you can use this set up to solve for any variable in this scenario.