00:01
So taking a look at this problem, we have tom and terry working together.
00:06
So i'm going to let x equal the amount of time it takes tom to complete the job, which means that x plus two is going to be the time it takes terry to complete the job, since it takes terry two hours a long time.
00:24
So what we want to do is we essentially want to add up their rates multiplied by three.
00:30
That's going to be the amount of project they complete in three hours.
00:36
I'm also going to want to add terry's work for one hour, and that's going to be the one project timeline completed.
00:47
So you can see we have a rational function here as we distribute and multiply.
00:52
You wind up getting three over x plus three over x plus two plus one over x plus one equals one.
01:00
In order to solve rational function, it's most convenient to get a common denominator, which in this case is x over x plus 2.
01:12
From here, we're going to multiply what's missing in our denominator, which is x plus 2.
01:18
We're missing x here...