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xokatexo

  • 2 years ago

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

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

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

  3. CliffSedge
    • 2 years ago
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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

  4. CliffSedge
    • 2 years ago
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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.

  5. CliffSedge
    • 2 years ago
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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.

  6. xokatexo
    • 2 years ago
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    |dw:1348859501586:dw| ???

  7. CliffSedge
    • 2 years ago
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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.

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

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

  10. CliffSedge
    • 2 years ago
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    |dw:1348859649081:dw|

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

  12. CliffSedge
    • 2 years ago
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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).

  13. CliffSedge
    • 2 years ago
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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.

  14. CliffSedge
    • 2 years ago
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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.

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

  16. xokatexo
    • 2 years ago
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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..

  17. CliffSedge
    • 2 years ago
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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?

  18. CliffSedge
    • 2 years ago
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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.

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

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