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abbie1

PLEASE HELP! A plane took 5 hours to get from Omaha to San Francisco with a tailwind of 28 mph. It took 6 hours to make the return trip with a headwind of the same speed, 28 mph. How fast was the plane traveling in still air?

  • one year ago
  • one year ago

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  1. Anyssah
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    1680miles

    • one year ago
  2. abbie1
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    how did you calculate that? are you sure?? Thanks!!!

    • one year ago
  3. abbie1
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    @satellite73 ?? do you know how to solve this??

    • one year ago
  4. satellite73
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    yes

    • one year ago
  5. satellite73
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    and 1680 i think is too far

    • one year ago
  6. abbie1
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    i set up (5p+28)=6(p-28)..

    • one year ago
  7. abbie1
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    *5(p+28)

    • one year ago
  8. satellite73
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    close, i think it should be \[5(p+28)=6(p-28)\]

    • one year ago
  9. satellite73
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    if you call "p" the rate

    • one year ago
  10. satellite73
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    yeah what you said at first

    • one year ago
  11. satellite73
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    second

    • one year ago
  12. abbie1
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    Yeah but then when you simplify it's 28 and thats not an answer..

    • one year ago
  13. satellite73
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    oh i could be wrong, i jumped the gun maybe 1680 is the right answer

    • one year ago
  14. abbie1
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    but how do you get that?!?!?!

    • one year ago
  15. satellite73
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    lets solve \[5(x+28)=6(x-28)\] \[5x+140=6x-168\] \[140=x-168\] \[x=308\] so the rate is 308 miles per hour, but that is not the distance, that is the rate

    • one year ago
  16. satellite73
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    to find the distance replace the rate of 308 in either expression for example \[5(308+28)=5\times 336=1680\] as stated above

    • one year ago
  17. abbie1
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    THANK YOU!! but that is the rate in still air as well?

    • one year ago
  18. satellite73
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    @Anyssah was right , i jumped the gun

    • one year ago
  19. satellite73
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    the rate in still air is 308 mph, yes. the distance is therefore 1680

    • one year ago
  20. abbie1
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    Its not asking for the distance thought, its the rate it traveled in still air.

    • one year ago
  21. satellite73
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    ok, then 308 mph is the right answer to that question

    • one year ago
  22. abbie1
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    Thank you guys :)

    • one year ago
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