Solving Word Problems in Distance, Rate, and Time Using Quadratics - Example 2

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THANK YOU, SIR, YOU ARE A HERO!! I was literally about to start bawling my eyes out because I couldn't solve one of these particular problems.

aliya
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Okay, he had me up until the last part when he factored the last equation with r squared.

spadrine
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@MrKenneththeboss This isn't the hardest thing mathematically I've done...I'm just used to math being very mechanical, just chugging and plugging, not word problems. All of the classes in math I've ever taken preferred to emphasize theory and calculation over analysis/word problems. I wanted to hit my head against a brick wall while taking calc2 because a lot of the word problems were so vague. Calculus 3 is working a lot better for me now...thanks to a much better textbook and patrickJMT. :)

tigerlilja
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This really helped, I was so confused on my mid term...

pankiller
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Would it have worked if the faster plane's value of r was r+50 instead of the slower plane with r-50?

Thegeometer-epsj
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@Arcz90 well, with some practice you can do this pretty quickly i would think.

patrickjmt
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this really helped!!! haven't understood this for two weeks but i finally get it. thank you!

profile
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I remember in algebra I, these were the only type of problems that I couldn't do..I wish I could've had this video back then. I'm in calc II now and this guy works wonders on my grade.

tigerlilja
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Would it still be the same if you put r+50 for the faster plane?

sanggleee
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Bruh our math teacher gave us a hw like this but he only taught us to day was Domain and Range and I'm like

tyler_danico
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Cheers for this video. I really appreciate it. Well done, and keep up the good work!

bufferoverload
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OMG after all of this time i finally understand these kinds of problems! i should have watch this video sooner because i am already in calculus. :'D

kellyvan
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Yo I was just listening to “revenge Tokyo” and this vid popped up math always finds its way to me 😖😭

dylanmonroe
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this is good really helpful information.

thanks!

TheGreenSmoke
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the way the problem was solved was so confusing for me. If only I could remember how my teacher solved that, can't find anything on youtube that is similar to how he solved it.

joysjournal
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is there an easy, more simplified way to do these kinds of problems, say you are in an apptitude test and have a time limit, can these be done more quickly?

Arcz
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You are the greatest ever thank you so much

fireballpizza
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It would be good if you could slow down

theresasutherland
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Can we solve it using time 1 equal to time 2 using rational equation?

jhimmorales
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@QuantumRippyify
I think he was picturing a commercial jet plane. He probably doesn't realize that smaller one engine planes (Which considering the miles traveled, makes the most sense), are considerably slower.

Nocturnous