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marissapaige

It's silly that I've gone years and years and I still don't understand it...but could someone explain distance problems to me?

  • 2 years ago
  • 2 years ago

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  1. FreeTrader
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    Please pose a specific distance problem... Such as...?

    • 2 years ago
  2. marissapaige
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    I don't have an example off the top of my head... but just like, Uhm...say two trains are heading toward each other. One is going 40 MPH and the other is going 25MPH. How long would it take for them to meet?

    • 2 years ago
  3. kandybabii
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    Distance divided by time=speed. Time times speed=Distance

    • 2 years ago
  4. FreeTrader
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    Insufficient info. So, what you ought to do is find a problem you want to work and post your question. Just knowing the speed won't tell you enough to figure out the time. what else do you need? What if one train is pointed east in SF and the other is pointed West in NYC? or what if one is in Missouri? See?

    • 2 years ago
  5. marissapaige
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    Oh! I see. Terribly sorry. Let's say, to begin with, they are 170 MPH apart. One heading north, one heading south.

    • 2 years ago
  6. marissapaige
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    MPH? Sorry- I mean miles.

    • 2 years ago
  7. FreeTrader
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    Try an easier problem. Your car is at home. The grocery store is 10 miles away. If your route is a straight line at constant speed of 10 miles per hour, how long will it take you to travel to the store?

    • 2 years ago
  8. marissapaige
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    One hour. I understand that, and I understand the formula, but it's when there are two different objects involved. But thank you none-the-less.

    • 2 years ago
  9. FreeTrader
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    Okay, moving on up...

    • 2 years ago
  10. FreeTrader
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    So, with two objects moving you just have two separate parts of the problem just like going to the store.

    • 2 years ago
  11. FreeTrader
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    What if the store was very special, a mobile store in a van. It is also moving toward you and departing at the same time as you, also at 10 MPH. How long till you meet the store on your path?

    • 2 years ago
  12. marissapaige
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    Half an hour.

    • 2 years ago
  13. FreeTrader
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    You got it. Now, you can change the speeds of the objects and figure that out.

    • 2 years ago
  14. FreeTrader
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    See where this is going?

    • 2 years ago
  15. marissapaige
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    Okay, thank you lots! I do indeed. I just never knew where to begin and how to set it up.

    • 2 years ago
  16. FreeTrader
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    Let's say now that you drive at 20 MPH and the store moves toward you at 10 MPH. When will you meet?

    • 2 years ago
  17. marissapaige
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    Oh my... Would it be fifteen minutes?

    • 2 years ago
  18. FreeTrader
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    You can get a feel for it by trial and error... You will eventually find the moment of meeting, and you will get it!

    • 2 years ago
  19. FreeTrader
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    try the distance formula that kandybabii gave above to confirm your answer.

    • 2 years ago
  20. FreeTrader
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    hint: use it twice. Once for the store, and once for your car.

    • 2 years ago
  21. marissapaige
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    And so, once I get the 1/2hour for me and the 1hour for the van, what do I do with them?

    • 2 years ago
  22. FreeTrader
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    Use the formula d/t = s rearrange it to st = d after 15 minutes, you see there's a gap still?

    • 2 years ago
  23. FreeTrader
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    20 MPH x 1/4 hour = 5 miles 10 MPH x 1/4 hour = 2.5 miles. Still 2.5 miles apart. Need more time. Lather rinse and repeat until they meet at the same time, is the way to get the hang of it.

    • 2 years ago
  24. FreeTrader
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    Or rather, adjust the time until the distances sum to 10.

    • 2 years ago
  25. marissapaige
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    Okay. Hmm.

    • 2 years ago
  26. marissapaige
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    I just don't understand...still. :/

    • 2 years ago
  27. FreeTrader
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    try 17 minutes. Use 17/60 ths hours instead of 1/4. See? and just try until the distances of each add to 10, the original distance apart. 10 has to be covered regardless of who goes fast and who goes slow in order for them to meet. That's the problem, more generally.

    • 2 years ago
  28. marissapaige
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    Okay. I think my problem is I'm a visual learner...so it's more difficult with math. I think in the morning, I'm going to get my friend to help. In my old math class we used to set up a chart, and I was going to do that, but soon realised I didn't remember where the information went.

    • 2 years ago
  29. FreeTrader
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    20mph * x hours + 10mph * x hours = 10 miles

    • 2 years ago
  30. marissapaige
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    OHH. That helps!

    • 2 years ago
  31. FreeTrader
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    20x makes a line from point a 10x makes a line from point b change x until they connect in between point a and point b at point M for Meeting Point.

    • 2 years ago
  32. FreeTrader
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    With word problems, you have to peel the story away to be left with numbers and units.

    • 2 years ago
  33. FreeTrader
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    Here's a guy who has a website with tons of them on video, and he's great and trustworthy. http://www.khanacademy.org/video/two-passing-bicycles-word-problem?playlist=Algebra

    • 2 years ago
  34. marissapaige
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    Yeah, I can tell. So, with that equation, you'd have to insert actual numbers for 'x' before you can multiply and say 20x + 10x = 10 and then 30x = 10 and just get 1/3?

    • 2 years ago
  35. marissapaige
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    And thank you for the video :)

    • 2 years ago
  36. FreeTrader
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    You are right.

    • 2 years ago
  37. FreeTrader
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    1/3 hours is 20 minutes.

    • 2 years ago
  38. FreeTrader
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    So, you know how to do distance problems after all. Good Job!

    • 2 years ago
  39. marissapaige
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    Oh yay!

    • 2 years ago
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