What speed (mph) does a car have to go to cover 150 miles in 1 hour and 20 minutes?

How to solve an algebra word problem - rate x time = distance.
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[@toughenupfluffy7294]

150 miles per 80 minutes: 150/80, reduce: 15/8=1.875 miles per minute. X 60 minutes in an hour = 112.5 mph.

[@bluejedi723]

Need to add cost of speeding ticket to this question

[@hilarybuckland5963]

That's how I worked it out. Seems far simpler than the video version!

[@larrynicholson5913]

Exactly, the video is way too complicated and confusing. I get that they are trying to demonstrate certain concepts, but doing it this way seems counter productive. Not the best way to get people into doing maths (I'm English, we say maths not math)

[@vincentrobinette1507]

@@bluejedi723 They gotta catch him first!

[@stuartyoung5728]

The travel time is 4/3 hour, so the speed is 150 miles per 4/3 hour which works out to 112.5 mph.

[@cangrejoxidao]

It needs to go at 150 miles per 80 minutes, which is X per 60 minutes. Solve with the rule of three: x = 150 * 60 / 80 = 112.5 mph

[@Chris_Mack]

Yes, I went 150/80*60=112.5. . . how many miles per minute multiply to MPH.

[@cangrejoxidao]

@@Chris_Mack miles per 60minutes = miles per hour, thats the beauty.

[@bluejedi723]

2nd part of this problem is figure out cost of speeding ticket and is cop going to impound car or not

[@vincentrobinette1507]

3rd factor...What will this do to his insurance premium? That, over time, can cost more than the ticket and impound fees put together!

[@aryusure1943]

Basic rule of 3: 150 for 80 = X for 60. 150 times 60 divided by 80 = 112.5 mph.

[@vincentrobinette1507]

I did it the opposite way. I divided 150 by 80, to get miles per minute.(1.875)Then, multiplied the miles per minute by 60, to convert to MPH.(112.5)

[@aryusure1943]

@@vincentrobinette1507 As they say "all roads" lead to Rome. ;)

[@Vipre-]

112.5mph Can do this easily by either dividing 150 by 80 then multiplying by 60 or dividing 150 by 4 then multiplying by 3.

[@rightorwrong]

Huh! I got the right answer but didn't trust that it was right. There are 3 20 minute segments in an hour, & 4 20 minute segments in an hour & 20 minutes, and the distance to be travelled is 150 miles, so i divided 150 by 4 to get 37.5, then multiplied 37.5 by 3 (the number of 20 minute segments in an hour) and got 112.5. I didn't believe that was the mph because i can't explain my logic to myself. It's hurting my brain & is going to bother me 'til I understand it.

[@tinkerherring1840]

Someone else who thinks like me. Much easier to me that way!

[@enzopalumbo2164]

1 hour and 20 minutes is 80 minutes. 150 miles in 80 minutes is equal to 1.875 miles per minute (150/80). So in mph it is 1.785 miles/ minutes x 60 minutes/hour (1.875/80* 60) = 112.5 mph.

[@rightorwrong]

@@enzopalumbo2164 I understand your logic. It makes so much sense when i read it. What I don't understand is why I got the correct answer - or, rather, why the answer I came to with those steps is, in fact, the correct number of mph.

[@enzopalumbo2164]

@@rightorwrong because 80 minutes is four thirds (4/3 or 80/60) of 60 minutes. Therefore the speed will 3/4 of 150 mph, which is 112.5 mph.

[@rightorwrong]

@@enzopalumbo2164 Thank you!

[@yolandarios8468]

Thank you for all the effort and passion you put in showing us. For those that think that you explain too much I say , then this channel is not you. Maybe you are experts and don’t know what you’re doing in this channel. Thanks you profesor for everything.

[@judyanderson869]

There is a known - 60 mph = 1 mile per minute so 1 hour and 20 minutes = 80 miles so - the equation 60 over 80 = x over 150 - this simple equation gives the same answer much quicker! 80x=9000 x = 112.5

[@markuswx1322]

I'm sure the right way to teach this problem is with a rate-time-distance discussion. My own idea is simply to avoid unit conversions and other difficulties, take 150 miles and divide it by 4/3 hours = 112 1/2 mph.

[@keithclancy1537]

I suppose you have to know the concept the problem is illustrating. Otherwise: 3 simple steps... 150 miles per 80 minutes. ==>1.887 miles per minute ==> 1.887 miles per minute multiplied by 60 Minutes per hour ==> 112.5 miles per hour. It is not really algebra but simple arithmetic just an exercise in keeping track of units. As I recall a very important concept NASA messed up and crashed a space probe.

[@anothercitizen4867]

1:20 = 80 minutes. Using a rate table, half of each is 75mph in 40 min., half that is 37.5 in 20 minutes. So 40 minutes + 20 minutes = 60 minutes ( 1 hour) and 75 mph + 37.5 mph = 112.5 mph. No need to memorize a formula.

[@jackson5116]

So, basically every cop's dream speed. Hell of a ticket there!

[@Truth845]

That's not a ticket that straight to jail 😮

[@russelllomando8460]

Good one, thanks

[@devonwilson5776]

Greetings. The answer is 112.5 MPH. First, we need to recognize 1 hour and 20 minutes is the same as 80 minutes. Now, using D=VT, we can plug in the values for the distance covered and the time taken to have traveled that distance. However, we also need to covert minutes to hours by dividing 80 by 60 to get 8/6. That gives 150= V8/6 MPH. Moving forward, we have 8V=900 after multiplying both sides by 6, and V=900/8 MPH= 112.5 MPH.

[@stargator4945]

Isn't this a bit high for a medium speed in the US? Shouldn't you use better numbers so fractions do work simply and the result should be something real like 55-65 miles per hour.

[@vincentrobinette1507]

I took a different route.(pun intended) I converted 1 hour, 20 minutes, to get 80 minutes. I then divided distance (150 miles) by 80 to get miles per minute.(1.875) Multiply that by 60 to turn miles per minute into miles per hour (final answer, 112.5)

[@gaia2uwilson]

YAY! I got it! I divided 150 by 80, then multiplied that product by 60 (a mile/minute)= 112.5

[@aitag9522]

interesting method :)))) you like fractions 150/ 80 = 1.875 * 60 = 112,5

[@alexrobertsfcim]

Well, I just noticed that 1hr 20min obviously isn't a neatly rounded hour, but I just multiplied the distance and hours until I got to a rounded hour. 150 miles in 1:20 -> 300 miles in 2:40 -> 450 miles in 4:00. 450 / 4 = 112.5.

[@stuartyoung5728]

Do you teach analytic geometry?

[@lennonl4433]

Have discovered the math-challenged are quite confused by the slanted v.s. the straight divisor line when they see a written fraction....

[@adhaskym.a9536]

It can go 200mph and reach destination early. Chill for a while. Have a smoke and beer and be there by 1hr and 20mins.

[@Surreal_Wizard]

My guesstimate, common sense, tells me that it would be approximately one hundred twelve point five miles per hour. How did I come up with that? Well, last time I got pulled over, the cop said he had me pegged for doing 112.5 MPH in a 55 mph zone- so hopefully that's the answer. I have no idea if it's right. So maybe I can brag to my friends and family that I am a scofflaw with five speeding tickets and a suspended license, who is really not very good at math.

[@light279]

I did not view the video but isn't it logical to just divide150( miles ) by 80 ( minutes ) and multiply the answer to that by 60 ( minutes )

[@marley2591]

Do not make anything more complicated than it needs to be. 150 miles divided by 80 minutes x 60 to convert back to mph.

[@kennethflemington518]

Divide by 4 multiply by 3.

[@johnspencer9217]

how about 150x60 =9000/80 =112.5

[@user-ri6rn7ti5h]

150milies /1hour 20minutes/60 =( 900miliesminutes/20hourminuest )= 450mph (x+2x-450)

[@user-ri6rn7ti5h]

150miliesx+1hoursx+20minutesx+60minutesx= 150miliesx-1housx20minutesx-60minutesx= 300miliesx+2hoursx+40minutesx+120hoursx { 3.600miliesxhoursx/80minuteshours)= 4.50mphs (x+3x-150)

[@kennethdias9988]

112.8 round to 113 150 divided by 80 =1.88 per minute times 60 = 112.8

[@pmw3839]

If you don’t round up: 150/80= 1.875x60=112.5 mph (which is the answer given on the video).

[@kevint9622]

i just did 150/80*60

[@kingalfred3902]

What about the formula ....speed= distance divided by time ...........distance is 150 miles ....time is 80 minutes........Thus ..Speed = 150 divided by 80 ..= 1.875........thus 1.875x 60 = 112.50 miles per hour

[@tommybotts]

Distance = Rate x Time or Rate = Distance/Time Rate = 150/1.3 Rate = 115 mph

[@pmw3839]

The answer is 112.5 mph. You should have taken the Time as 1.333. (I made the same mistake.)

[@tommybotts]

@@pmw3839 Perhaps, but I did my answer in my head - 2.5 mph is negligible.

[@nyneeveanya8861]

My weird logic. 100mph leaves 50/20 leaves a remainder, but 110 mph leaves 40/20=2 so 110+2=112 approximately

[@stevenjohnson1143]

112.5 mph divide 150 by 1.33333

[@MathsMadeSimple101]

This required 19 mins of explanation?

[@pmw3839]

Most of the time was spent advertising himself. I wish he didn’t do that, & just stuck to the maths. I am sure he would get a much bigger following.

[@loneranger6361]

(150/80)*60/80=112.5 mph

[@stevedietrich8936]

miles/time(in hours)=mph 150 miles/1.333 hours= 112.52 mph

[@melaniebrazeau1578]

113 mph rounded.

[@michaelbaughman8524]

Way faster than than the speed limit: 112.5 mph.

[@Geoff_G]

150miles/1.333 hrs = X miles/hr 112.53mph

[@frankalfonso7070]

112.5 MPH

[@stevennaraine9429]

1.875x60

[@womensintuition]

112.5

[@Sadiku11]

112.5mph

[@darkparker7500]

112.5 miles per hour.

[@ToGoMania19]

115

[@arnelfabros2789]

3/4 x 150= 112.5

[@danieldennis9831]

150=4/3x 450/4= 112.5 mph

[@bobcornwell403]

112.5 mph.

[@paulhaye]

150 / 80 * 60 = 112.50

[@jasonluong3862]

The answer is zero mph because the car has a flat.

[@ruthzepeda5451]

112.5 mph

[@tashf4071]

I have a maths learning disability - your method was convulted and confusing. I worked it out in under 30 seconds. 1 hour = 60 minutes 60 + 20 = 80 (60×150)/80 = 112.50

[@SPRoehl]

53 mph

[@terrycleary679]

Why not simply say 150 ÷ 80 mins x 60 mins = 112.5 ????

[@JoeG2324]

150 / 1.3333 = 112.5. I think the explanation is more confusing

[@syauequus]

mph is miles/hour. 150 miles ÷ 4/3 hours = 112.5 miles/hour. Keep it simple

[@boleklolek2649]

🤔It cannot go with that speed, unless in Germany or on a race track.😉

[@Vipre-]

It's only illegal if you get caught.

[@ajaxashford4815]

Or if your in Nevada

[@edmondscott7444]

I hope you do not take so long to explain to a class of students.

[@007mrdarcy]

honest to God..... so much waffle & sidetracking.....

[@ojerageorge3803]

The teacher is good but too wordy

[@Ganja-jh6iy]

You must mean average speed.

[@atulrastogi4836]

Your way of explaining is too long with too much BS in it that confuses the rader.

[@lukeknowles5700]

112.5 mph

[@brianfraneysr.5326]

112.5 mph