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EXOEXOEXO

  • one year ago

it took matt twice the time to drive from home to work as it took him to drive back home from work by the same route. if matt averaged 30 miles per hour(mph) on his drive to work, his average speed for the entire round trip was?

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  1. anonymous
    • one year ago
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    ok so if it was 2 times as fast what would his drive backs mph be?

  2. EXOEXOEXO
    • one year ago
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    60?

  3. anonymous
    • one year ago
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    yea

  4. anonymous
    • one year ago
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    so since you have both of them how do you find the average

  5. EXOEXOEXO
    • one year ago
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    (30+60)/2?

  6. anonymous
    • one year ago
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    yea so 45 would be it :)

  7. EXOEXOEXO
    • one year ago
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    but its not an answer choice

  8. anonymous
    • one year ago
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    what are the choices???

  9. anonymous
    • one year ago
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    lol its not twice as fast its twice as slow

  10. EXOEXOEXO
    • one year ago
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    30 25 40 15

  11. anonymous
    • one year ago
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    so (15+30)/2

  12. anonymous
    • one year ago
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    wait a minute

  13. anonymous
    • one year ago
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    @dan815 am i right in saying (15+30)/2 sorry im tired

  14. anonymous
    • one year ago
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    lol wait i think im just being dumb

  15. anonymous
    • one year ago
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    no wait im not it would be 22.5 mph are you sure thats the whole question

  16. EXOEXOEXO
    • one year ago
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    I think it is a 30+2(15)/2

  17. anonymous
    • one year ago
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    no then that would just be 30

  18. EXOEXOEXO
    • one year ago
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    30 mph is the average on Matt's drive to work while 15 mph is the average of Matt's drive to home from work

  19. anonymous
    • one year ago
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    because he took twice as long using the same rounte meaning he was twice as slow (15 mph) and the other was 30 so the avarage of that is 22.5mph

  20. anonymous
    • one year ago
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    yea

  21. anonymous
    • one year ago
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    so basicly in the context of the problem x= matts time from work so (x+(x/2))/2= avg

  22. anonymous
    • one year ago
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    and x=30 so

  23. anonymous
    • one year ago
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    yea

  24. anonymous
    • one year ago
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    cool @EXOEXOEXO ???

  25. anonymous
    • one year ago
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    although its not a choice it is the right answer for what you gave me

  26. EXOEXOEXO
    • one year ago
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    lol

  27. anonymous
    • one year ago
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    haha yea unless you made a typing error??

  28. EXOEXOEXO
    • one year ago
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    I don't think I made one

  29. whpalmer4
    • one year ago
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    How long does it take him to drive to work? How long does it take him to drive home? Add them together to get the round trip time. Average speed for the round trip is round trip distance divided by round trip time.

  30. anonymous
    • one year ago
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    yea but thats not a choice :(

  31. whpalmer4
    • one year ago
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    That's all the information you need to calculate the answer... Let the distance to work be \(x\). Time to drive to work is \(x/30\). Time to drive home is \((1/2)*(x/30)\) Total distance driven is \(2x\) Average speed for trip is total distance driven divided by total time.

  32. anonymous
    • one year ago
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    yea i know that and you would get 22.5 but thats not an answer choice for him

  33. whpalmer4
    • one year ago
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    No, 22.5 is not the result of that calculation, correctly done.

  34. whpalmer4
    • one year ago
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    Time to drive to work is \[\frac{x}{30}\] Time to drive home is\[\frac{1}{2}*\frac{x}{30} = \frac{x}{60}\] Total time driving is \[\frac{x}{30}+\frac{x}{60} = \frac{3x}{60} = \frac{x}{20}\] average speed is \[\frac{2x}{\frac{x}{20}}=2x*\frac{20}{x} = \]

  35. whpalmer4
    • one year ago
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    Or, pick a distance, any distance, and work out the problem. Let's say it is 60 miles to work, to make the arithmetic easy. 60 miles at 30 miles per hour = 2 hours to drive to work Driving home takes 1/2 the time, so that's 1 hour to drive home. Total distance driven is 60+60 = 120 miles. Total time driving is 2+1 hours = 3 hours Average speed =

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