00:01
So we're looking at a scenario here where a painter can do a job on his own in six hours.
00:05
So i'm going to kind of represent the painter's rate is going to be one job in six hours.
00:14
Okay, the helper's rate is going to be one job in nine hours.
00:22
Painter has worked for two hours alone, then his helper joined him.
00:26
How long will take them to finish the remaining job by working together? okay.
00:31
So i'm going to define that time of the time of them working together as t.
00:36
So that means that for the painter's rate, we could take his rate times his time for the amount of work he does.
00:43
So his rate of 1 over 6 is going to be multiplied by t plus 2 because he's going to be working for two hours longer than the helper does.
00:51
So the helper is going to be 1 9th times t.
00:54
And the goal is to get one job done together.
00:57
So that's what we're looking at here, the combination.
00:59
So i can distribute the 1 6, so that 1 over 6 plus 2 over 6, which is the same as 1 over 6t.
01:07
Plus 2 over 6, which is the same as 1 3rd, plus 1 over 9 t is equal to 1...