Calculating average velocity or speed - By tecmath
Transcript
| 00:0-1 | Good day . Welcome to Tech Mouth channel . What | |
| 00:01 | we're going to be having to look at in this | |
| 00:03 | video is some speed distance time calculations . This is | |
| 00:06 | in response to a email , I got a guy | |
| 00:08 | called Nathan . Pretty much want to know how to | |
| 00:10 | do these according to this particular website here . I'm | |
| 00:13 | going to put it in the link down below and | |
| 00:15 | I really recommend have a bit of a click on | |
| 00:17 | and put up a play with this website . It | |
| 00:18 | times you is quite nasty . Um , so anyway | |
| 00:23 | , Nathan , I am going to show you what | |
| 00:25 | I had to look at with this . First off | |
| 00:27 | , you asked That I could work out some of | |
| 00:29 | my math magic . I'm just going to use math | |
| 00:31 | with this mate . There is no magic whatsoever , | |
| 00:34 | but hopefully I'm going to make it a bit easier | |
| 00:35 | for you . So when you click on this particular | |
| 00:38 | link , what happens is it takes you to a | |
| 00:40 | website with 10 questions , it looks like this . | |
| 00:43 | There we go . So you get 10 questions and | |
| 00:46 | at times you submit your answers and then it tells | |
| 00:48 | you how many you got wrong and how fast you | |
| 00:50 | did . On average each question Nathan , I'm going | |
| 00:53 | to show you how I go about doing this and | |
| 00:55 | for other people and how you can go about getting | |
| 00:57 | a fairly good score on this . So first off | |
| 01:00 | to do these , what I did is I actually | |
| 01:02 | used this particular formula here . I used to speak | |
| 01:06 | calculation formula which was this one time is equal to | |
| 01:09 | distance over speed , Times 60/1 . Okay . And | |
| 01:15 | I use this each time pretty much and I got | |
| 01:18 | my answers except that they were really easy . So | |
| 01:21 | let's just have a bit of a look to start | |
| 01:22 | off with . First off , we're gonna have a | |
| 01:23 | look at some speed calculations . What speed covers 17 | |
| 01:27 | miles and 17 hours . What speed covers 10 miles | |
| 01:30 | in an hour ? 40 . What speed covers 70 | |
| 01:32 | miles an hour . What speed covers 13 miles in | |
| 01:35 | 15 minutes And what speed covers 17 miles in eight | |
| 01:39 | hours 30 . And pretty much these are pretty easy | |
| 01:42 | . Okay , once you get used to have and | |
| 01:43 | do them , what speed covers 17 miles in 17 | |
| 01:47 | hours . So hopefully you get the answer straightaway of | |
| 01:49 | one . Okay , one hour , one mile , | |
| 01:52 | two hours , two miles , three hours , three | |
| 01:54 | miles 17 hours 7 , 8 mi . I'm not | |
| 01:57 | gonna even put this through my paces here For the | |
| 02:00 | next one . What speed covers 10 miles in an | |
| 02:02 | hour ? 40 . So the trick with these is | |
| 02:04 | we're going to turn our time here into a fraction | |
| 02:08 | . This is one and 40 out of 60 , | |
| 02:11 | okay , one and 40 minutes out of 60 minutes | |
| 02:14 | . This can be changed to one and two out | |
| 02:17 | of three . We can simplify this . So what | |
| 02:19 | we're gonna do over here is we're going to put | |
| 02:21 | this in as an improper fraction , one times three | |
| 02:24 | is three Plus two is 5 , Okay . 5/3 | |
| 02:31 | . And this is equal to a distance over the | |
| 02:33 | speed . So what you're gonna see is we have | |
| 02:36 | a speed , we're trying to work out that's down | |
| 02:38 | the bottom here And we have a distance of 10 | |
| 02:41 | miles . So look , all we need to do | |
| 02:43 | now is we have an equivalent fractions here , five | |
| 02:46 | times what equals 10 times to Yeah , so three | |
| 02:51 | times two will give us our answer down here three | |
| 02:53 | times too . We have our answer of six MPH | |
| 02:57 | and that's how easy it is . Finicum . Alright | |
| 03:00 | , uh let's go through the next question here . | |
| 03:05 | Okay , what speed covers ? 17 miles in one | |
| 03:08 | hour , Okay , how fast would you be going | |
| 03:10 | in one hour to go ? 70 miles in one | |
| 03:12 | hour ? You have to go 70 miles an hour | |
| 03:15 | . That's a pretty easy question . Ah let's just | |
| 03:17 | go the next one . What speed covers 30 miles | |
| 03:20 | in 15 minutes . So let's have a look at | |
| 03:22 | 15 minutes here . What is that ? As a | |
| 03:24 | fraction ? It's 15 out of 60 . have 15 | |
| 03:27 | minutes after 60 minutes , which is a quarter . | |
| 03:29 | So a quarter is equal to 13 miles Over the | |
| 03:35 | distance that we're trying to work out . Okay ? | |
| 03:37 | So how do we go from 1 to 13 times | |
| 03:40 | by 13 ? Yeah , So four times 13 we're | |
| 03:43 | going to have our answer . What's four times 30 | |
| 03:46 | ? The answer is 52 . All right , let's | |
| 03:50 | go through the next question here . Okay . The | |
| 03:54 | last one of the speed questions , what speed covers | |
| 03:56 | 70 miles in eight hours and 30 minutes , so | |
| 04:00 | eight hours , 30 minutes . This is 8.5 hours | |
| 04:04 | as an improper fraction . This is 17 over to | |
| 04:08 | this is equal to the distance over the speed . | |
| 04:10 | The distance is 70 miles and the speed is what | |
| 04:14 | we're trying to work out . So 17 to 17 | |
| 04:17 | , they were just times 11 So two times one | |
| 04:20 | . Our answer is to hey all right , not | |
| 04:26 | so bad . Right , Let's have a look at | |
| 04:29 | the next type of questions . These are these ones | |
| 04:32 | . Okay ? How long time questions time ? We | |
| 04:35 | have a time question and a time questions . So | |
| 04:38 | let's have a look at these . We're going to | |
| 04:39 | use this same idea . Time is distance over speed | |
| 04:42 | occasionally . We'll be checking in this time 60/1 , | |
| 04:45 | that's where we need to work out the minutes . | |
| 04:47 | Okay ? So time is distance over speed . A | |
| 04:50 | 10 mi . Pereira . How long does it take | |
| 04:52 | to travel ? 15 miles . Now , I can | |
| 04:54 | tell you straight away , that is gonna take an | |
| 04:56 | hour . 31st hour . You do 10 miles the | |
| 05:00 | second half an hour . That second half . Now | |
| 05:02 | you can do five miles , so that's 30 minutes | |
| 05:04 | , but let's chuck this in here . Ok ? | |
| 05:06 | The distance is 10 . Actually the distance is 15 | |
| 05:11 | , the speed is 10 and this is equal to | |
| 05:13 | 1.5 hours .5 hours .5 times 60 is 30 minutes | |
| 05:21 | . Okay , let's have a look at the next | |
| 05:24 | question here , at 30 MPH . How long does | |
| 05:27 | it take to travel ? Eight miles ? So we're | |
| 05:30 | going eight miles . This is 30 mph . Now | |
| 05:34 | you're gonna see this straight away , we're going to | |
| 05:36 | end up with a bit of a fraction here Because | |
| 05:38 | we're not going to be even the full hour . | |
| 05:40 | I'm gonna time just by 60/1 just to work out | |
| 05:43 | what the minutes are and it's going to make life | |
| 05:45 | easier because we can cancel it numbers here . Okay | |
| 05:48 | , 30 goes into 30 once and 30 goes into | |
| 05:51 | 60 twice , so eight times two , we get | |
| 05:54 | our answer at 16 minutes . Okay , let's have | |
| 05:59 | a look at This question . 36 mph , 18 | |
| 06:04 | miles distance is 18 , Yeah , Speed is 36 | |
| 06:10 | , 18 divided by 36 . It's half it's half | |
| 06:13 | an hour . Half an hour is 30 minutes . | |
| 06:18 | All right , Okay , so that's how you do | |
| 06:20 | those particular questions . Let's have a look now at | |
| 06:23 | the last lot of questions that we have left , | |
| 06:25 | we have at 40 mph , how far you travel | |
| 06:27 | in nine minutes , uh at 15 mph , how | |
| 06:30 | far you travel in 44 minutes . Let's go sort | |
| 06:33 | these out . We're gonna use this same formula again | |
| 06:35 | . Okay So uh we have nine minutes here . | |
| 06:39 | Nine minutes is nine out of 60 . Okay . | |
| 06:43 | Nine out of 60 . We can simplify this a | |
| 06:46 | little bit further , we can divide three into both | |
| 06:48 | of these . So we get three out of 20 | |
| 06:51 | . Alright , three out of 20 is equal to | |
| 06:55 | Okay the distance divided by the speed . So we | |
| 06:58 | have the distance which we're trying to work out . | |
| 07:00 | And the speed which is 40 , Okay from 20 | |
| 07:04 | to 40 . We're gonna times by two . Yeah | |
| 07:07 | . So we're gonna do the same up here three | |
| 07:09 | times two . Arrieta is six . Okay , lucky | |
| 07:14 | . Last question . I'll tell you what after this | |
| 07:16 | , I will go through another set of these just | |
| 07:19 | to make sure we're all good with it . Okay | |
| 07:22 | , so we can do that next . All right | |
| 07:25 | , last question , what have we got ? We | |
| 07:28 | have at 15 MPH . How far you travel in | |
| 07:30 | 44 minutes . Turned this year into a fraction . | |
| 07:35 | 44 out of 60 . What number goes into ? | |
| 07:37 | Both of these ? Four goes into both . Four | |
| 07:39 | goes into this 11 and it goes into 60-15 times | |
| 07:43 | . We have 11 out of 15 , which is | |
| 07:46 | equal to the distance that we're trying to work out | |
| 07:49 | over the speed , which is 15 . How do | |
| 07:52 | you go from 15 to 15 ? Well , here | |
| 07:54 | times by 1 , 11 times one , we've got | |
| 07:57 | a final answer for these questions and that there would | |
| 08:00 | be 11 . All right , so there you go | |
| 08:04 | . That's how I went about doing these . Hopefully | |
| 08:07 | I haven't got a whole bunch of them wrong . | |
| 08:08 | Actually be kind of awkward . If I do what | |
| 08:11 | I tell you what , I'll go through the next | |
| 08:13 | lot of these questions and we'll see okay , I | |
| 08:17 | use exactly this every time . All right , let's | |
| 08:20 | have a look . Okay , second lot of questions | |
| 08:22 | This time I am not going to separate them into | |
| 08:24 | types of questions . I'm just going to start answering | |
| 08:26 | it at 15 MPH . How long does it take | |
| 08:29 | to travel ? 30 miles ? So this is a | |
| 08:31 | time question . Time is equal to distance over speed | |
| 08:36 | Bead . Okay , so we have a distance of | |
| 08:38 | 30 . We have speed of 15 . This is | |
| 08:42 | equal to two , but there's no surprise there either | |
| 08:45 | . That's two hours . That is alright . That's | |
| 08:48 | why not hope you about an answer without actually using | |
| 08:51 | the formula . Ok . 15 miles . Okay , | |
| 08:53 | That's one hour , two hours . 30 miles . | |
| 08:57 | Three hours 45 miles so and so forth At 20 | |
| 09:00 | mph . How far do you travel ? In two | |
| 09:02 | hours and 24 ? So , we're gonna turn this | |
| 09:04 | into a fraction . This is two hours and 24 | |
| 09:08 | . 24 12 goes into that as well . As | |
| 09:10 | it goes into 60 12 , goes into 20 for | |
| 09:13 | two times and it goes into 65 times . So | |
| 09:16 | we're going to turn this into an improper fraction . | |
| 09:18 | Two times five is 10 plus two is 12 . | |
| 09:22 | 12/5 is equal to the distance over the speed . | |
| 09:26 | So the distance is what we're trying to work out | |
| 09:29 | . And the speed is 20 To go from 5 | |
| 09:33 | to 20 few times by four . So 12 times | |
| 09:36 | four , we get our answer 12 times four . | |
| 09:39 | It's 48 . All right . This is real seat | |
| 09:44 | of my pants stuff at the moment . Maybe I | |
| 09:46 | don't get any wrong . Um , There you go | |
| 09:48 | . I'm sure I'll get a couple wrong there and | |
| 09:50 | there will be anger . Okay , so 12 MPH | |
| 09:52 | . How long does it take to go ? 26 | |
| 09:55 | miles . Well this is a time one straight away | |
| 09:57 | . Uh This is distance divided by speed . 26 | |
| 10:02 | Divided by the speed . Which is 12 . If | |
| 10:05 | you do that , you go 12 26 divided by | |
| 10:07 | 12 . You are going to get this answer of | |
| 10:09 | two and what ? Uh to over 12 . So | |
| 10:16 | to over 12 is two and 1/6 . So what's | |
| 10:19 | 1/6 of 60 minutes or 16 times 60 minutes ? | |
| 10:24 | Okay . It's 10 minutes . Okay , we're two | |
| 10:25 | hours and 10 minutes . Alright . Um Let's have | |
| 10:31 | a look at the next question . A 10 mph | |
| 10:36 | . How far do you travel in eight hours to | |
| 10:39 | 10 miles an hour ? Eight hours ? Look one | |
| 10:42 | hour . Um 10 miles . Two hours and 20 | |
| 10:44 | miles . Three hours . 30 miles times eight . | |
| 10:48 | You're gonna go 80 miles . That's a nice easy | |
| 10:50 | one at five MPH . How far do you travel | |
| 10:53 | in three hours and 24 minutes to turn this one | |
| 10:55 | into a fraction . This is three and once again | |
| 10:59 | , 12 goes into this 12 times and 12 goes | |
| 11:03 | into 65 times . Let's put the improper fraction over | |
| 11:05 | here . Three times five is 15 plus two is | |
| 11:08 | 17/5 , which is equal to how far we're going | |
| 11:14 | . That's a distance Over the speed of five . | |
| 11:17 | So from 5-5 . Well , we just got time | |
| 11:20 | for one . So 17 times one . Look at | |
| 11:23 | an answer of 17 . All right . Uh were | |
| 11:28 | booming along through these . Hopefully quite nicely . Alright | |
| 11:31 | , what speed covers three miles in three hours ? | |
| 11:34 | Hey , this is gonna be 1 11 MPH . | |
| 11:37 | How far do you travel in one hour ? That | |
| 11:39 | would be 11 miles that you would go at 10 | |
| 11:43 | MPH . How far do you travel ? In seven | |
| 11:44 | hours and 48 minutes . Okay . So pretty simple | |
| 11:48 | . Uh So in that first seven hours , 10 | |
| 11:51 | MPH , you're gonna travel 70 communist per hour . | |
| 11:53 | But what do you do for the extra 48 ? | |
| 11:55 | Okay , So 48 . Well this is 4/5 okay | |
| 11:59 | , because 12 goes into 48 Four times , then | |
| 12:04 | there's 60 minutes goes in five times . So 4/5 | |
| 12:08 | , That's our time , which is equal to the | |
| 12:11 | distance over the speed . We have a distance , | |
| 12:14 | we're trying to work out the speed which is 10 | |
| 12:16 | , so we're times in by to write five times | |
| 12:19 | . Two equals 10 . 4 times too . Well | |
| 12:21 | , that's the second part , that's eight . It's | |
| 12:24 | going to get added to our seven year . This | |
| 12:26 | is 78 km . Alright , We're almost done . | |
| 12:32 | What we got for our last questions here , we | |
| 12:35 | have what speed covers 15 mph and 40 so hour | |
| 12:39 | and 40 . This is gonna be one and 23 | |
| 12:43 | Okay , one and two thirds . This is gonna | |
| 12:46 | be 5/3 , improper fraction . What speed to the | |
| 12:51 | speeds are one on the bottom ? Uh This is | |
| 12:56 | equal to 15 miles , Okay , so times three | |
| 13:01 | three times 3 your answer is known . Okay , | |
| 13:07 | last question , hopefully I won't embarrass myself by getting | |
| 13:11 | at least nine of them wrong so far at four | |
| 13:14 | MPH , how long does it take to travel ? | |
| 13:16 | 13 miles . Okay , nice , easy one . | |
| 13:18 | How long ? This is 13 distance over four , | |
| 13:22 | so it's going to take three hours , It's going | |
| 13:25 | to take three hours and one left over so three | |
| 13:27 | and a quarter hours . This is three hours and | |
| 13:29 | quarter of an hour is 15 minutes , submit my | |
| 13:32 | answer , we'll see how many we got right , | |
| 13:34 | I can't do that actually . I can't write and | |
| 13:36 | do that at the same time . So unfortunately , | |
| 13:40 | anyway , hopefully this was of some help to you | |
| 13:43 | Nathan . Okay . Uh , for you guys , | |
| 13:45 | I really , really hope you get on this website | |
| 13:48 | and give it a bit of a fly . See | |
| 13:50 | how fast you can do things . Okay . I | |
| 13:53 | think I was getting him down to about 15 seconds | |
| 13:55 | when I was doing them per question , but I | |
| 13:57 | reckon you guys could probably do a bit better . | |
| 13:58 | I tell you what , I'll post my best time | |
| 14:00 | up . Uh , and if you like this video | |
| 14:02 | , please remember to like and subscribe to the tech | |
| 14:04 | math channel and if you want to be a really | |
| 14:06 | good way to old tech Matthew , please remember you | |
| 14:09 | can become a patron won't cost you too much and | |
| 14:12 | you'll be helping out well , people like Nathan . | |
| 14:16 | Okay . Anyway , hopefully we'll see you next time | |
| 14:20 | . Bye . |
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