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Chero

  • 2 years ago

A person leaves home at 8:00 a.m. and drives to a destination at a rate of 40 mph. The person returns at a rate of 25 mph and arrives at 2:30 p.m. If x represents how far it is to the destination, then which of the following expressions represents the amount of time to make the return trip?

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  1. Hero
    • 2 years ago
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    It makes sense to include the possible expressions since there is more than one way of doing this.

  2. Chero
    • 2 years ago
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    okay...one sec.

  3. Chero
    • 2 years ago
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    a) 25x b) 6.5-x c) x/25

  4. Hero
    • 2 years ago
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    For some reason I'm getting \(t = \frac{x}{25} - 6.5\)

  5. Hero
    • 2 years ago
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    Which is none of those

  6. Hero
    • 2 years ago
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    Chero, is there a typo?

  7. Chero
    • 2 years ago
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    let me check...

  8. Chero
    • 2 years ago
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    No typos on the possible answers.

  9. Wired
    • 2 years ago
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    \[Rate = \frac{Distance}{Time}\] \[Time*Rate = Time*\frac{Distance}{Time}\] \[Time*Rate = Distance\] \[\frac{Time*Rate}{Rate} = \frac{Distance}{Rate}\] \[Time = \frac{Distance}{Rate}\]

  10. Chero
    • 2 years ago
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    I copied and pasted the question.

  11. Wired
    • 2 years ago
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    Substitute Distance and Rate to get the Time.

  12. Hero
    • 2 years ago
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    Wired, do you have an actual explanation or are you going to continue to talk in general?

  13. Wired
    • 2 years ago
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    That IS the explanation. Replace Distance and Rate and you have the answer.

  14. Hero
    • 2 years ago
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    I see. I was focused too much on setting up the problem to solve for t

  15. Chero
    • 2 years ago
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    so is the answer b??

  16. Chero
    • 2 years ago
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    I am terrible at word problems....they give me headaches.

  17. Wired
    • 2 years ago
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    What is the Distance? What is the Rate for the trip home?

  18. Chlorophyll
    • 2 years ago
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    Since the total time: 12:30 - 8= 6.5 hrs -> Return time : total - leaving time = ....

  19. Chero
    • 2 years ago
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    x/25 should be the answer. I am not sure I just went ahead and submitted my answers.

  20. Wired
    • 2 years ago
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    That's the correct answer.

  21. Hero
    • 2 years ago
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    Yes, Chero, no one wanted to give you the answer though

  22. Chero
    • 2 years ago
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    I am too tired, taking a quick break!! I appreciate your help. I am sure I will be back in about 20 minutes!

  23. Chlorophyll
    • 2 years ago
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    @Chero Take a look at my explanation!

  24. Chero
    • 2 years ago
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    Thank you again! I have been helping my 15 year old son since noon today and am about fried!! LOL

  25. Hero
    • 2 years ago
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    Chrorophyll, they wanted the expression for time

  26. Chlorophyll
    • 2 years ago
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    That what it is: Return time = total time - start time

  27. Chlorophyll
    • 2 years ago
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    Starting time = x

  28. Wired
    • 2 years ago
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    @Chlorophyll Starting time is NOT X. As per the original statement: X represents how far it is to the destination.

  29. Chlorophyll
    • 2 years ago
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    "If x represents how far it is to the destination"

  30. Wired
    • 2 years ago
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    Yes, I just stated that. X is DISTANCE, not TIME.

  31. Chlorophyll
    • 2 years ago
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    Oh, I misread it :")

  32. mahmit2012
    • 2 years ago
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    |dw:1341622152132:dw|

  33. Wired
    • 2 years ago
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    @mahmit2012 Yes, you solved for X, but the question didn't want X. @Chero Please close the thread and award a medal if you deem so.

  34. mahmit2012
    • 2 years ago
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    |dw:1341622381026:dw|

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