00:01
Hello and welcome to this video where we're going to take a look at a work problem.
00:04
And so here's the specific problem we're looking at.
00:07
Tammy can clean her hair salon in 15 minutes.
00:09
Annie, who works with tammy, can clean the salon in 30 minutes.
00:15
How long would it take them to clean up their salon if they were to work together? so what we're going to do is start by defining how long it takes tammy and annie to do the job.
00:24
Tanny can do it in 15 minutes.
00:29
Annie, on the other hand, can do it in 30 minutes.
00:34
Now, what we're trying to figure out here is how long it takes both of them working together to do this.
00:41
And the thing is, it's not going to be 45 minutes.
00:43
You know, they're both working together, so in theory it should be faster for them to clean up the whole thing.
00:49
Now, let's take a look at how we're going to figure this out.
00:52
For me, it always boils down to how much do they get done in one unit of time.
00:58
So it takes annie 15 minutes and in one minute she's done one 15th of the job.
01:09
Annie on the other hand will get 1 30th of the job done in one minute.
01:14
And here's the thing.
01:16
We're going to bring these together and we're going to combine it.
01:20
In one minute, how much of the overall job have they've gotten done? and it's going to be one over some unknown.
01:28
And that's what we're trying to figure out.
01:30
Because once we know what x is, then that pretty much tells us how long it's gonna take them to do the thing when they work together...