Fuel Consumption - Free Educational videos for Students in K-12

Fuel Consumption - By tecmath

Transcript


00:0-1	Good day and welcome to Tech mouth channel of josh
00:02	. In this video , we're looking at how to
00:04	work out questions involving fuel consumption . Now I'm going
00:07	to give you a quick explanation about what fuel consumption
00:09	is fuel consumption is , the amount of petrol or
00:12	gas your vehicle users to drive a given distance .
00:15	And it can be measured in a number of different
00:17	ways . We can measure it in terms of the
00:20	number of kilometers you could drive with one liter of
00:23	petrol , the kilometers per liter . We can also
00:25	look at the number of leaders you would use to
00:28	drive 100 kilometers . That is the leaders per 100
00:31	kilometers . We could also use the number of miles
00:35	that you could go per gallon MPG and you're going
00:39	to notice for each of these that we actually have
00:42	a formula that we've written out to . We have
00:43	kilometers divided by the number of leaders and leaders divided
00:47	by the number of 100 kilometers and the MPG ,
00:50	which means miles divided by the number of gallons .
00:53	And we're going to be using these to work out
00:55	a lot of the things to do with fuel consumption
00:57	. It makes things really , really simple . So
01:00	what about our launch into the first question ? So
01:02	for our first question , a car uses 290 litres
01:05	of petrol to drive 1300 kilometers . What is its
01:09	fuel consumption ? So there's two different ways that we
01:12	can measure fuel consumption using these particular figures . The
01:15	first one we can measure fuel consumption is we could
01:17	say , what is the number of kilometers that we
01:20	travel per liter ? Okay , the kilometers per liter
01:24	. The other thing we could do is we can
01:26	also say how many liters are we using her ?
01:29	100 km ? So we're going to work out both
01:33	of these , but you might have to specifically work
01:35	one out when you were doing this . So we're
01:37	just going to treat each of our units here as
01:40	a formula . So we have the kilometers divided by
01:42	the number of leaders . The number of kilometers we
01:44	have is 1300 km and this is going to be
01:49	divided by the number of leaders This much here .
01:53	290 leaders , nice and easy . Pretty easy calculation
01:58	to work out . Okay , and that's going to
02:00	be 4.5 kilometers per liter . All right , that's
02:06	the first way as you can see , I just
02:09	followed this particular thing kilometers divided by leaders kilometers per
02:12	liter . The next one is liters per 100 kilometers
02:15	. So let's work this out . We have 290
02:18	leaders . So let's put that on 1st 290 leaders
02:22	and this is going to be divided by The number
02:25	of 100 km as you can see , this is
02:27	per 100 km . So in 1300 km , how
02:31	many 100 kilometers do we have ? So 1300 provided
02:34	by 100 where this can divide that by 13 and
02:38	we'll get our answer . So 290 divided by 13
02:44	, this is going to be 22 0.3 leaders per
02:49	100 kilometers . And that's the way that you can
02:51	work out of fuel consumption . Really easy . So
02:54	I'm going to look at these now in terms of
02:56	MPG . So let's look at this question here .
02:58	A car uses 43 gallons of petrol to drive .
03:01	1250 miles . What is its fuel consumption ? We've
03:05	got miles , we're using gallons cr fuel consumption is
03:08	going to be in MPG . Okay , And you
03:13	might think of this as being the per here as
03:16	actually being divided by . So you can actually see
03:18	this as the miles divided by the number of gallons
03:22	. So it's a nice and easy equation to work
03:25	out . Okay , so let's do this . First
03:27	off , we have the miles here , we have
03:29	1250 and that's going to be your miles and this
03:35	is going to be divided by the number of gallons
03:38	. We have 43 gallons here . All right ,
03:41	so what do we get when we work this out
03:43	? 1250 divided by 43 . You're going to get
03:48	the answer of 29.1 MPG . As I said ,
03:53	nice and simple . Just treat the units that you're
03:56	working out as an equation as a formula and you're
03:59	going from there . Okay ? So let's have a
04:01	look at how then you may apply these once you
04:04	know , your fuel consumption . So this is how
04:08	you would go about applying these . A car has
04:10	a fuel consumption of 8.8 liters per 100 kilometers .
04:14	It drives 360 kilometers . How much fuel does it
04:17	use ? So you're going to see here that we
04:19	have a couple of things , we have the amount
04:22	of fuel or amount of petrol that were actually ,
04:25	we know for the fuel consumption . We also got
04:28	this part that we're trying to work out , they're
04:30	here , we have 100 kilometers here and we have
04:34	360 kilometers that we are traveling . So we're going
04:36	to be using these to work out proportionately how much
04:40	petrol we need . Okay , and this is how
04:42	we're going to do this . So we have 8.8
04:45	leaders and this is going to take us 100 kilometers
04:50	, But we don't want to go 100 km where
04:52	you want to go 360 km , which is a
04:55	little bit bigger and you might say to yourself ,
04:58	okay , how much bigger is it ? Because we
05:00	want to know then how much petrol we're going to
05:02	use , so how much bigger is 360 then 100
05:07	I'm talking proportionally . How much would you multiply 100
05:11	buyer to get 3 60 ? We can go 3
05:13	60 divided by 100 and work that out . So
05:16	this is going to be multiplied By 3.6 . So
05:20	we're going to be going 3.6 times as far we're
05:23	going to be using 3.6 times as much petrol ,
05:27	8.8 times 3.6 . We're going to have our answer
05:31	, this is going to be 31.7 lit of petrol
05:36	that we need . Okay , let's have a look
05:37	at this involving miles . A car has a fuel
05:40	consumption of 35 MPG . It drives 260 miles .
05:44	How much fuel does it use ? So as you
05:47	can see here , we have 35 miles and this
05:51	is with one gallon . We also know that we're
05:55	traveling 260 miles , but what we really want to
05:59	then find out is how much fuel do we use
06:02	is how many gallons do we need to do this
06:04	? So let's write this all down . Here .
06:05	We are fuel consumption , which is 35 miles and
06:09	that is using one gallon of fuel . We are
06:14	driving 260 miles . And what we want to really
06:19	find out is how much fuel we're going to be
06:21	using to drive that far . So as you can
06:23	see we are getting proportionately bigger . What would you
06:27	multiply 35 by to get to 60 , 260 divided
06:32	by 35 . If we do that , we get
06:35	the answer of 7.4 . So we have to multiply
06:39	by 7.4 to get this answer here . So we're
06:42	going 7.4 times further than this . 35 miles we're
06:46	going to be using 7.4 times as much fuel .
06:51	One time 7.4 we'll have our answer . This is
06:55	7.4 gallons of gas that we would be using anyway
07:00	. Hopefully you like this video there . The major
07:02	types of questions you'll get when you get fuel consumption
07:05	questions and as long as you treat them like the
07:08	formula that you can see that they actually are there
07:10	fairly simple use logic , use common sense and you'll
07:14	be okay with it anyway . Hopefully like that video
07:16	. Please consider subscribing if you did like that video
07:20	as well as possibly becoming a patron . Your help
07:22	is always appreciated and your support is always appreciated .
07:26	Anyway , comment . If you like this video ,
07:28	tell me how you went to see you next time
07:30	. Bye .

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