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.

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The worksheet from this video can be found here:
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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.

samanthachang
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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!

ceefaithfull
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I accidentally just found the exact hw my teacher assigned lol

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

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

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

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

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

mikeferry
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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!

HeyBigChriss
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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!

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

lisamazzuca
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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

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

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

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

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

theswaggertronics
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VERY helpful video! Thank you so much!

jhonen
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Thanks for making it so simple and easy to understand!

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

ompatel
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Thanks helped me a lot I now understand it

zaczcreator