00:01
Okay, so this is essentially a dimensional analysis problem.
00:04
We have a car and it is traveling at 55 miles for one hour.
00:16
And it is using, so we're going to use this as a conversion, for every 11 kilometers it is using one liter of gasoline.
00:28
So the question is, how many gallons of gasoline are needed for a three hour trip? so we're going to travel for three hours and we want to know, basically, how many gallons we're going to use.
01:09
I'm going to point out a few things, okay? this is our volumetric measurement, but we want gallons instead of liters down here.
01:20
We have two distance measurements here, but they're not in the same unit, so we're going to have to do some conversions.
01:28
So let's start with our three hour trip.
01:39
So in three hours, we know that for every one hour, we will travel, i think it said 55 miles.
01:46
So we're now in how many miles we traveled, okay? but look at our conversion factor over here, it's in kilometers.
02:00
So we're actually going to have to convert in two kilometers.
02:05
So for every one mile, okay, so there is 1 .609 kilometers.
02:19
So if we stop now, we'd have the distance in kilometers.
02:21
But that's not what we want, we want gallons, so we need to change into units of volume...
