00:01
So in this problem, we're given a table in which three athletes will compete, complete a race, right? and so we know that amanda, you know, again, if this is my table, i've got running, i've got swimming, and i've got cycling.
00:19
So amanda is running at 10 miles per hour.
00:24
She's swimming at four miles per hour and cycling at 20 miles per hour for a total time of two hours and 30 minutes.
00:35
And again, we're going to convert that to all hours.
00:38
We've got bryce and bryce is running at 7 .5 miles per hour, swimming at 6 miles per hour, cycling at 15 miles per hour.
00:50
And bryce is not that fast.
00:52
So price finishes at three hours.
00:55
And we've got corey.
00:57
And corey runs at 15 miles per hour, swims at three miles per hour, but cycles at 40 miles per hour.
01:07
And he wins the race in an hour and 45 minutes, which is 1 .75.
01:12
Now, that's set up the matrix here.
01:14
The first thing we have to remember here is that distance is equal to rate times time.
01:19
Now, because these are rates here, and these are total times, we really want to be looking at the distance divided by each of the rates will give us the times.
01:31
So in this particular case, when i set up my matrix, i am going to set up my matrix as one -tenth, one -fourth, one -twieth, will be 2 .5 hours when i add up the total a lot of times...