00:01
So i think drawing a picture is really good.
00:03
So this individual is three miles offshore, so three miles.
00:10
And then down the coastline is eight miles.
00:17
And so what you can do is you can imagine for a second if she goes three miles straight across at two miles per hour.
00:29
So distance equals rate times time.
00:34
Let me just write that down.
00:36
Distance equals rate times time.
00:38
So she has to go three miles at a rate of two miles per hour.
00:47
So the time it would take her to go there would be three divided by two.
00:52
And then on land, she has eight miles where she's going five miles per hour, five times t.
01:00
So that time it would take her would be eight fifths.
01:03
So adding those together, i'm just going to write the decimal.
01:09
Would be 3 .1.
01:11
So t would equal 3 .1.
01:14
That might not be the fastest time, though, because what if she just went diagonally and was on the boat the whole time? well, you could do the pythagorean theorem of a squared plus b squared equals c squared.
01:29
I'm just going to leave it like this because i don't believe that's the right answer.
01:34
And that's still going, let me do this in black.
01:37
So that's the square root of 73, right? 9 plus 64.
01:43
That's the distance.
01:45
The rate is back to going two miles per hour.
01:49
So if i did the square root of 73 divided by 2, oh, that time takes 4 .272.
02:00
I'll just say hours.
02:02
So that's not so far the 3 .1 is the best.
02:06
Or what about this scenario where she goes diagonal for a little bit, land somewhere.
02:13
And i feel like they want you to answer the question for this x.
02:17
So that's what i'm going to call this one x...