00:01
Actually put that into cars per hour you can do like this i'm basically representing both of their rates of work here so anthony's rate is gonna be one car in 0 .75 hours jacob needs one hour to wash and wax a car so he's one car per one hour if anthony works by himself for two hours before being joined by jacob how much time will it take for them to wash and wax 16 cars to the nearest minute uh you know what since doing the nearest minute i saw that i'm gonna go ahead and change these back to minutes now.
00:30
So it's anthony is one car in 45 minutes and then jacob is one car in 60 minutes.
00:39
Okay so from here we are going to look at their basically the work they can get done.
00:45
So the work is going to be equal to rate times time.
00:48
So in this case because we have two people working the total work is going to be equal to like rate one times time one plus rate two times times time two.
00:57
So in this scenario, basically i'll call this one rate one and this one rate two.
01:05
So anthony is going to work for a certain amount of time.
01:08
So he's going to do one car in 45 minutes.
01:11
That's his rate multiplied by time.
01:13
So we'll just call it t.
01:15
Jacob is going to be working for two hours less than anthony.
01:19
So that means i'm going to represent his rate.
01:22
So his rate one over 60 times the time t minus 2.
01:27
This is going to work equal to up to the total work they're going to do which is in this case is going to be 16 cars...