Please teach dimensional analysis. This is the engineer's bread and butter (you had it right that "per" is interchangeable with the "divide bar"): 3 miles 60 minutes ----------- x -------------------- = 5 minutes 1 hour The minutes cancel out leaving : 3 x 60 miles 180 miles -------------------- = ----------------- = 36 miles per hour 5 x 1 hour 5 hour
Are you kidding, algebra,i can do it in my head, no calculator either 3 miles x (60/5) 3 miles X 12 =36 mph I am glad i went to school in the 60s, im also glad i learnt basic arithmatic too.
Answer: 36 mph ----------- The car goes 3 miles in 5 minutes. The speed in miles per hour: 3 miles 60 minutes ---. x ------ 5 minutes 1 hour (minutes on denominator cancels off with minutes on numerator) 180 miles ------ 5 hours 36 miles ----- 1 hour
Mean speed is 36 mph but that is not the question asked At T=0 the vehicle is going 0 mph, it then accelerates for an unknown period but travels three miles in five minutes.
Rate is in miles/hour or mph so R=D/T. An analog clock face has 12 x 5 minute divisions for each hour, so there are 12 x 3mile segments in an hour = 36 mph
Alright, change of unit problem, nice. So this car travelled 3 miles in 5 minutes, and we could say 3 miles per 5 minutes as a rate of speed. However, that’s not a common way of giving the speed, so let’s see what might be appropriate. 3 miles per 5 minutes = 3 mi / 5 min Initially, I want to change minutes to hours. We need to remember that an hour is 60 minutes long, or: 60 minutes per 1 hour = 60 min / 1 hr Because this is an even trade, it’s the equivalent of 1, meaning we can legally do this: (3 mi / 5 min) * (60 min / 1 hr) Notice, the minutes units cancel out, leaving: (3 mi / 5) * (60 / 1 hr) The 5 and 60 cancel down to 1 and 12: (3 mi / 1) * (12 / 1 hr) And now: (3 mi * 12) / (1 * 1 hr) 36 mi / 1 hr Which we would say as being 36 miles per hour, or 36 MPH, which is a common unit of speed and appropriate to this application. Any questions?
I did in my head but different than the rest of you. At 30mph in 5min he would travel 2 1/2 miles, since 3 miles is 20% farther you just add 20% of 30mph which is 6mph to the 30mph and get 36mph.
I had a different way of looking at this problem due to my advanced age.😁😁 I know that 60 miles per hour is also i mile per minute. Many students likely would not know this. I look at 5 miles in 5 minutes as 100% Then 3 miles in 5 minutes (3/5) would be 60 % of 60mph or 36 mph. Some things just stick in my head such as 88 feet per second so don't drive distracted. I have a 9th grade granddaughter that could benefit from your channel. Be kind.
let see looks like a conversion puzzle first the unit conversion miles to miles will stay the same minutes -> hour -> 1/60 or 1 hour = 60 min 3 mi / 5 min x 60 min / 1hr cross out minutes (min) cross-cancel 5 & 60 3 mi /1 x 12/1hr = 36mi/1hr --> 36mph✅
The first time I could visualise it in an instant. (Statically so unlikely I'll ever do that again!) 3×12=36 mph… but then I can read a clock with a face!⌚
As others have commented on here. you have unnecessarily complicated the problem. It's not algebra,it's simple division and multiplication. 5 into 60 = 12....12 × 3 = 36
I took the time traveled and turned it into an hour first. Then took the speed and multiplied it by the same transforming number applied to the time and that’s how I got 60 MPH.
I figured out what went wrong. I just overthought the question too much. I just did the math problem focused on another thing happening around me. But I just applied the wright numbers in my correct process to get the correct answer. Things are easier when you’re not being focused on other stuff.
Wow! if this is the kind of teachers that kids have nowadays, I understand why millenials no longer solve simple arithmetics tasks without computers or calculators, therefore if we are struck by some powerful electromagnetic weapon, or if someone snach their tools away they people become useles, using the old good friend "rule of tree", othewise called "simple proportion" rule, I was able to solve this mentally in less than ten sec =(60min×3)/5min, and this dude took 15 minutes of long wild explanations to solve this?! pathetic!
I think it is a combination of things. I don't know about you but I know my "times tables" I might be wrong but I don't think they are required now days. If you didn't know that 5 x 12 = 60 then you would have to go through the convoluted methods shown here.
Must you always repeat yourself so often. It makes it seem like you're talking to idiots who can't remember something that was clearly stated 10 seconds ago.
5 minutes goes into 60 minutes 12 times. 12 times 3 = 36 miles per hour. Did it in my head faster than I could type it.
Yup, same for me.
Same. No formula needed.
Same here.
Likewise
Me too
Please teach dimensional analysis. This is the engineer's bread and butter (you had it right that "per" is interchangeable with the "divide bar"):
3 miles 60 minutes
----------- x -------------------- =
5 minutes 1 hour
The minutes cancel out leaving : 3 x 60 miles 180 miles
-------------------- = ----------------- = 36 miles per hour
5 x 1 hour 5 hour
3mi/5min
= 6mi/10min
= 0.6mi/min
= 0.6mi/min × 60min/hr
= 36mi/hr
3 miles in 5 min/ 9 miles in 15 min/ 36 miles in 1 hour/ 36mph
Are you kidding, algebra,i can do it in my head, no calculator either
3 miles x (60/5)
3 miles X 12
=36 mph
I am glad i went to school in the 60s, im also glad i learnt basic arithmatic too.
No calculator
3 miles / 5 minutes
36 miles / 60 minutes
36MPH
3 mile---------------5 minutes
x miles--------------60minutes (1h)
--------------------------------------------------------
x= (3 times 60) divided by 5 =3.12=36 m/h
No need for algebra...just unit analysis: 3miles/5min*60min/1hr=36miles/hr
Answer: 36 mph
-----------
The car goes 3 miles in 5 minutes.
The speed in miles per hour:
3 miles 60 minutes
---. x ------
5 minutes 1 hour
(minutes on denominator cancels off with minutes on numerator)
180 miles
------
5 hours
36 miles
-----
1 hour
I just solved for the speed in one minute (3/5= .6 miles), and then multiplied by 60 minutes. Answer = 36 miles an hour.
36 I looked at a clock and counted by 3s.
I used Y instead of X and still got 36mph.
3miles/5minutes= X / 60minutes/hr
Cross multiplication
3miles * 60minutes /hr = x(5minutes)
3miles*60minutes/hr(5minutes)= x (5minutes)/5minutes)
3miles *12/hr = x
X=36miles/ hr
Mean speed is 36 mph but that is not the question asked At T=0 the vehicle is going 0 mph, it then accelerates for an unknown period but travels three miles in five minutes.
3 miles/5 min = (3 x 12) miles/ (5 x 12) min = 36 miles/hour
Rate is in miles/hour or mph so R=D/T. An analog clock face has 12 x 5 minute divisions for each hour, so there are 12 x 3mile segments in an hour = 36 mph
Alright, change of unit problem, nice.
So this car travelled 3 miles in 5 minutes, and we could say 3 miles per 5 minutes as a rate of speed. However, that’s not a common way of giving the speed, so let’s see what might be appropriate.
3 miles per 5 minutes = 3 mi / 5 min
Initially, I want to change minutes to hours. We need to remember that an hour is 60 minutes long, or:
60 minutes per 1 hour = 60 min / 1 hr
Because this is an even trade, it’s the equivalent of 1, meaning we can legally do this:
(3 mi / 5 min) * (60 min / 1 hr)
Notice, the minutes units cancel out, leaving:
(3 mi / 5) * (60 / 1 hr)
The 5 and 60 cancel down to 1 and 12:
(3 mi / 1) * (12 / 1 hr)
And now:
(3 mi * 12) / (1 * 1 hr)
36 mi / 1 hr
Which we would say as being 36 miles per hour, or 36 MPH, which is a common unit of speed and appropriate to this application.
Any questions?
I did in my head but different than the rest of you. At 30mph in 5min he would travel 2 1/2 miles, since 3 miles is 20% farther you just add 20% of 30mph which is 6mph to the 30mph and get 36mph.
I had a different way of looking at this problem due to my advanced age.😁😁 I know that 60 miles per hour is also i mile per minute. Many students likely would not know this. I look at 5 miles in 5 minutes as 100% Then 3 miles in 5 minutes (3/5) would be 60 % of 60mph or 36 mph. Some things just stick in my head such as 88 feet per second so don't drive distracted. I have a 9th grade granddaughter that could benefit from your channel. Be kind.
My formula was different. I use proportion three over five is equal to X over 60.
let see
looks like a conversion puzzle
first the unit conversion
miles to miles will stay the same
minutes -> hour -> 1/60
or 1 hour = 60 min
3 mi / 5 min x 60 min / 1hr
cross out minutes (min)
cross-cancel 5 & 60
3 mi /1 x 12/1hr = 36mi/1hr --> 36mph✅
The first time I could visualise it in an instant.
(Statically so unlikely I'll ever do that again!)
3×12=36 mph… but then I can read a clock with a face!⌚
36 60 mins / 5 = 12 12 X 3 = 36 thanks for the fun.
36 mph
Got it, but suggest you move your process quicker.
Three fifths of a mile a minute
3 miles is to 5 min as X is to 60 mins ....x is 36!!
It’s only easy once you know it.
=3 X 60/ 5 =36 mph.
3/5*60 =36 I go for 36MPH
This is a common question.
36 mph... EZPZ
Lost me when you got to the answer. Reciprocal and 12.1?
3/5 X 60 = 36 Probably not the right way to find the answer, but it worked.🤔
36miles per hour
Faster than Mr john
OK, now how many furlongs per fortnight is the car traveling?
8 furlongs in a mile.
168 hours in a week so twice that many in a fortnight.
So your answer is 36 × 8 × 2 × 168. Whatever that is.
As others have commented on here. you have unnecessarily complicated the problem. It's not algebra,it's simple division and multiplication. 5 into 60 = 12....12 × 3 = 36
1 hour = 5 x 12 minutes so 3 miles per 5 minutes = 3 x 12 miles per 5 x 12 minutes or 36 mph
3miles per 5minutes
0,6 miles per minute.
Anything wrong with this answer
60 MPH.
a mile per minute is 60 mph..
I took the time traveled and turned it into an hour first. Then took the speed and multiplied it by the same transforming number applied to the time and that’s how I got 60 MPH.
I figured out what went wrong. I just overthought the question too much. I just did the math problem focused on another thing happening around me. But I just applied the wright numbers in my correct process to get the correct answer. Things are easier when you’re not being focused on other stuff.
I think this so called problem was over thought
Wow! if this is the kind of teachers that kids have nowadays, I understand why millenials no longer solve simple arithmetics tasks without computers or calculators, therefore if we are struck by some powerful electromagnetic weapon, or if someone snach their tools away they people become useles, using the old good friend "rule of tree", othewise called "simple proportion" rule, I was able to solve this mentally in less than ten sec =(60min×3)/5min, and this dude took 15 minutes of long wild explanations to solve this?! pathetic!
I think it is a combination of things. I don't know about you but I know my "times tables" I might be wrong but I don't think they are required now days. If you didn't know that 5 x 12 = 60 then you would have to go through the convoluted methods shown here.
Must you always repeat yourself so often. It makes it seem like you're talking to idiots who can't remember something that was clearly stated 10 seconds ago.
I personally appreciate the repetition. I hate algebra. These have helped me!
40 mph
36 mph
36 mph
36 mph