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xokatexo

Ian drives to town at 36 mph and returns at 48mph. If his total driving time is 3.5 hours, how far is he from town? Draw a diagram

  • one year ago
  • one year ago

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  1. Compassionate
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    Use the formula for distance: \[d = r*t\]

    • one year ago
  2. xokatexo
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    |dw:1348859120194:dw| Fill out the chart

    • one year ago
  3. CliffSedge
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    Assuming by, "returns," it means Ian is back at the original position, then you have one unknown distance, two known rates, and two unknown times that are related by t1+t2=3.5

    • one year ago
  4. CliffSedge
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    You can set up, initially, two independent equations with the unknowns 'd' and 't' and combine them (after making a substitution) into a single equation to solve for d.

    • one year ago
  5. CliffSedge
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    The instructions also ask for a diagram, so make sure you do that. Looking at a picture helps a lot to organized information.

    • one year ago
  6. xokatexo
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    |dw:1348859501586:dw| ???

    • one year ago
  7. CliffSedge
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    That's ok, but you can't have the same variable, x, for both unknown times. Try t for the first time and 3.5-t for the second time.

    • one year ago
  8. CliffSedge
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    That's not really a diagram - more of a chart or data table.

    • one year ago
  9. CliffSedge
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    Like I said, the two equations combine into a single one easily enough once you see how they are related.

    • one year ago
  10. CliffSedge
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    |dw:1348859649081:dw|

    • one year ago
  11. CliffSedge
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    That's close, but it's 3.5-x (x stands for time), not 35-x

    • one year ago
  12. CliffSedge
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    Yes, that's what you get when you set the two equations equal to each other (because the distance is the same).

    • one year ago
  13. CliffSedge
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    The two unknown variables are distance and time, but you can eliminate distance momentarily to solve for time, and then sub that back in to one of the first two equations to find the distance.

    • one year ago
  14. CliffSedge
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    OK. I am explaining the general way to solve these sorts of problems that works every time. If you want to do it another way and it works then that's fine.

    • one year ago
  15. CliffSedge
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    But just to let you know. '2' is not the correct answer.

    • one year ago
  16. xokatexo
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    well you didn't help at all and i mean x = 2...f you helped maybe id get the right answer..

    • one year ago
  17. CliffSedge
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    What about what I said do you think is not helping you? Do I need to explain the steps more clearly?

    • one year ago
  18. CliffSedge
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    If you want to know how to do these problems the right way and get the correct answer every time, I can help you, but if you are going to be rude and blow me off, then I wish you luck figuring it out on your own.

    • one year ago
  19. CliffSedge
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    In your equation, x does equal 2, but that does not answer the question...

    • one year ago
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