How to Solve Distance Rate Time Problems

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This video shows how to set up and solve distance rate time word problems for Algebra 1 and Algebra 2.
To solve distance rate time problems, it is helpful to know that distance = rate x time. For short, d = rt.
By setting up a table you can organize the given information and find an equation to solve for the unknown value you are looking for in the problem.
The table for the word problems have columns for rate, time, and distance. There are typically two rows for these types of problems and by filling in the given information for each row you can create an equation and use some algebra to find the unknown value.
E Math Academy offers online math tutoring services for students around the world to help them better understand math concepts and gain confidence in their problems solving skills. Click here for lesson inquires:
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The worksheet from this video can be found here:
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[@samanthachang8904]

An easier way to do 5:11 (problem 6) is to equate it with algebraic equations:
Let x be Kali's time: K = x
and let Matt = x - 1 (put minus one since he left an hour later)
Kali's speed it at 40kpm and Matt's speed is at 50kpm and let's multiply their speeds with their respective assigned algebraic equations:
40(x) = 50(x - 1)
40x = 50x - 50
50 = 50x - 40x
50 = 10x
5 = x
Let's recall that Kali's speed is equated to x, which means x = 5 so that's Kali's time.
Matt's time is x - 1 so 5 - 1 = 4, you still get the same answer.

[@BonzTrinitarian]

I’m really trash at math but why can’t you just set both k and m =200 on the table. 40x5=200 and 50x4=200. Is that coincidence? Because that doesn’t exactly give you the answer. Because Matt can drive over 200 since he drove faster. So I don’t get why that works I also don’t get why his answer works. Because Matt’s should be a decimal right?
Ohh, he left an hour later. I forgot

[@phineasroberts5566]

I accidentally just found the exact hw my teacher assigned lol

[@oakleyxdreams1751]

SAME LMAO

[@godspeedgamer1996]

omg me too!!!

[@michaelsterling8422]

Same

[@g0ated2k81]

Same lmaooooo

[@Fluffanator56]

lucky!!!

[@ceefaithfull8534]

Finally there is a method to the madness. I have gone through many different ways to solve these problems and i felt i was right where i started. This is curtailed to fit my understanding. Thank you so much!

[@emathacademyofficial]

Glad to hear it was helpful.

[@kokoofficials694]

This exercise is my second assignments . It’s really helpful to me. Now I’m much more understanding about it.
Thanks for this videos!

[@lavieenrose107]

I was freaking out before my math exam tomorrow, thank you so much!

[@theboss5780]

Yea my nigga

[@emathacademyofficial]

I hope it helped!

[@pommy...]

Thanks so much! I have finals tomorrow, and I was sooooo stumped. This helped a LOT!

[@ElianaMelson]

I just found the answers to the assessment worksheet my algebra teacher gave me! Sleeping in class has no side effects…

[@HeyBigChriss]

Bro this is the exact worksheet I have. I am studying for the ASTB for the Navy and I took this sheet into a tutor at my college and I did not get it at all with his explanations. Really got me discouraged. Thank you for posting!

[@slankinmyboto]

ds might seem like long shot but j' wondering how u did? did u pass? and what score did u get?

[@emathacademyofficial]

Glad to hear this could help you understand the problems better.

[@thebush3748]

This helped me so much. Thank you!!

[@theboss5780]

You are welcome nigga ❤

[@pumpkinxd7069]

Bro you are a literal life saver I was sick the day my teacher show us this and I have to keep this A. THANK YOU SO MUCH

[@RegiekEy]

I totally feel ya, I would hate to lose an A
what grade did they teach the word problems?

[@emathacademyofficial]

Awesome!

[@blanksubmit3770]

Thank you so so much, my teacher can’t teach anything and I’m in quarantine so I can’t ask questions :/

[@blhuiguigyigg789]

is this for algebra 1, im preparing for next school year and i don't know if this is part of the curriculum.

[@xgamer_supernovax3371]

Yes

[@OmakYaHabibi]

@Anna Browning I highly suggest that you check out professor Leonard ttp series. Its for preparing people for algebra.

[@terrymccann9239]

@@blhuiguigyigg789 I teach it in my class.

[@_cosmos_4219]

Thank you sooo much my sub math teacher didn’t explain it we’ll and this really explained it clearly. Keep up the good work!

[@theswaggertronics]

This video is a godsend. My teacher doesn’t teach this well at all.

[@mikeferry3391]

This is the best explanation I've seen. Thank you for being so clear

[@emathacademyofficial]

Thank you for the kind words. I'm glad it helped make sense of the problems for you.

[@samirkurudi8125]

Thanks this really helped

[@emathacademyofficial]

Glad to hear that.

[@TusharKale9]

This is exactly what I was looking for my child. Thank you so much.

[@emathacademyofficial]

Glad to hear it was what you were looking for.

[@theautomobile_]

Thank you so much!! I'm studying for finals and this really helped me out!

[@emathacademyofficial]

So glad to hear it!

[@silversky2348]

Thank you random man on the internet you literally just saved my entire midterm

[@emathacademyofficial]

Awesome! Glad to hear that.

[@lisamazzuca3291]

Thank you so much for your explanation. I loved how you showed us how to input the information in the chart!

[@emathacademyofficial]

Tables can be really handy for solving different parts to certain types of word problems.

[@ellep5179]

studying for the CBEST...WOW! I am now more confident!! Thank you

[@ompatel3672]

Thanks I’m a fifth grader trying to learn some more types of math problems

[@HomeDIYSStuff]

Keep pushing yourself... Nobody else will. Remember, it's exceptional to be smart in this day and age. Don't be ashamed of being a self starter, self reliant and building your intelligence. It's all you. You got this. I'm a homeschool teacher. ;)

[@emathacademyofficial]

Good for you. I'm sure you've come a long way since then if you kept up the math.

[@ericjosue7496]

This really helped sir! Thank you

[@heavenlee834]

Thank you, this helped a lot

[@jhonen32629]

VERY helpful video! Thank you so much!

[@VernikaK]

Can you do a video of solving Age Problems? Thank you!

[@zacz7creator891]

Thanks helped me a lot I now understand it

[@farheenyousuf6199]

Thanks for making it so simple and easy to understand!

[@emathacademyofficial]

I'm glad to hear the video helped you understand the content.

[@percythetransguy4536]

Thank you. I didn't pay attention in class and this helped lol

[@giannaaffannato442]

Thank you so much 😭 my math teacher explained this so many times and I couldn’t understand

[@eleanmea6979]

Thank you it helps a lot. Have a good day!

[@yourewatchingthewrongperso2019]

Thank you for this!! I hope it helps many people

[@marvinneira2292]

THX FOR THE WONDERFUL VID

[@Hthemoneyman]

thanks g now i'm ready for my quiz

[@maxxpayne309]

This is awesome 👏 thank you so much

[@itsmechara0426]

THANK YOU SO MUCH FOR THIS!

[@eliasacuna6930]

Super helpful!! 👌🏽

[@TheUniversityTales]

Super helpful. Thank you.

[@sarahjadevolkmann5555]

Thank you! I am terrible at math and this actually made sense

[@farheenyousuf6199]

V well explained!👏👏👏👏

[@dann_istoomuch]

Thank you!

[@Coffeeismylifeblood]

Is there an equivalent to this equation for the rate you spend your food budget?

[@kloudy2531]

Bruh thx thx!!!!! Nice work :p

[@jessicamclaughlin7578]

I need help on questions 9 and 10.

[@Ukissing]

thank you

[@hxndxrs0n815]

these questions are so similar to mine!

[@countrymarvel]

Thanks

[@shanaim27]

is #6 correct?

[@goosebumps1334]

This is 9th grade math in the US, right?
(or Algebra 1 in other words)
I need to know this because I'm preparing to go into freshmen year.

[@emathacademyofficial]

These are problems you might see in a typical Algebra 1 class.

[@goosebumps1334]

@@emathacademyofficial Since you seem like you'd know, do you know what unit they're at? (Like Functions, Quadratic Functions etc..) since I'm going to the US and I'm hoping to continue school but I have a feeling that it's too late, since I might go mid or late February.

[@emathacademyofficial]

@@goosebumps1334 What is being covered at the moment will probably differ quite a bit from class to class. Although not all school use these standards, if you'd like to see Common Core Standards for Algebra 1, here is a link: www.corestandards.org/Math/Content/HSA/introduction/
You might also want to check with the school you'll be going to and ask what they've covered so far so that you can brush up on those areas if needed.

[@Cur1y]

@@goosebumps1334 i learned these in 7th grade

[@petergriffin8767]

i did an intro to these in 7th grade math and then reviewed in 10th grade math.

[@vanessabriseno757]

You should of done the whole page

[@theresasutherland3410]

I think he done enough examples as it encourages me to try some on my own wich is part of the process of learning

[@petergriffin8767]

imagine saying 'should of'

[@ItzVybez]

ty mate

[@smackthat8827]

As far as I understand there is a mistake in question 4: it asks the time Jose drove before Rob caught up not the overall time of Jose's journey. So I believe the answer is 1

[@tylermitchell9131]

It took Rob 5 hours to catch up with Jose, who had been driving for a longer amount of time (because he left earlier than Rob). So that tells you right there that Jose had to have been driving for a longer amount of time than 5 hours. So the answer couldn't be 1.
"1 hour" would be the correct answer if the question were "For how long did Jose drive, AFTER Rob departed, before Rob caught up with him?"
But the question is simply "How long did Jose drive before Rob caught up?" (I.e. What was Jose's total driving time up to the point that Rob caught up?)

[@jaz_speaks]

what if they leave at the same time ??

[@jenanahmad5791]

How can we do Q8 ?

[@maelie007]

Lifesaver

[@Mikeleks]

the goat

[@michaelnewell5422]

you just saved my career

[@engralikhan333]

best

[@hel8686]

everything was good up until question 6! Mat left 1 hour later which is (x+1) So the answer is x = 3.8. So mat traveled 4.8hrs

[@nathaliegomez9442]

Umm I'm so lost on question 5 someone send help

[@WiseWordsofWill]

These genuinely make zero sense to me no matter how many videos I watch and it’s driving me crazy

[@vlonexfrxsty]

holy shii that chart is the best thing ever

[@donlee4238]

Beautiful

[@theyyluvvdavid_]

my teacher was doing the same assignment and yeah

[@christianjeero1169]

Why did u subtract 40 to 400????? Thank you

[@user-zy1rq1up7c]

:) thank

[@parthkhera7161]

anyone know how to do number 3?

[@mojoman7141]

Do you still want to know ? 🙂

[@barbarahille8066]

Thanx

[@trudyesprit4255]

someone please explain this to me. in the question about kali and matt, if matt left one later, why cant it be x-1 for matts time? instead of kali's time being x + 1?

[@tracymop3971]

It’s because you are trying to find Matt’s time not Kali’s, so Matt would be x and Kali would be x + 1

[@wanik4]

Damn the person to hell who down-voted this video.

[@hulahoop58]

LOL

[@brytonpotter3959]

Can I have help on 5

[@jenanahmad5791]

Go: 220*x
return:200(x+1)=200x+200
x=time
we have the same distance here so 220x=200x+200
20x=200
x=10hours

[@francisvega2831]

What about q 8

[@chesterdaleandales4984]

is 30miles is the answer?

[@gemlo]

bro im a senior in highschool taking this pisslow easy college algebra course for the college credits and everything is so easy except for this how the fuck do yall do this

[@gemlo]

idk bro good luck

[@mildfire3673]

I’m still in high school and thought “I guess il look at collage math” mistake coming here

[@heavenlee834]

i think kali is pronounced with an "ah" as in apple not an "aw" as in awesome

[@Neyobe]

Him using m to represent miles instead of mi is confusing me with metres lol

[@Billinabokchoy]

Yeah lol 😆

[@robertprice9052]

The fastest Aircraft Carrier ever!

[@hxndxrs0n815]

LIFESAVER

[@kusuo1111]

It’s freaking harder in online class

[@hxndxrs0n815]

ANYBODY DOING THIS IN 8TH GRADE?

[@lottie170]

problem four is 6 not 4

[@lottie170]

look at awser key im doing same in classw

[@HAWK45454545]

@@lottie170 what is it?

[@iriszhangg]

TheMusicSoldier they literally said it’s 6

[@sahel3202]

I think the answer to question 5 is wrong

[@lovely8434]

He didn’t do #5...

[@bluedickson6807]

I agree- since it's one hour less, wouldn't it be 10-1, or 9??

[@Mrecb9]

No one jogs at 10mph

[@lenahoang4348]

jogging????

[@shanes254]

Thank you!

[@iamliam1241]

Thank you so much.