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abbie1

  • 2 years ago

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?

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  1. Anyssah
    • 2 years ago
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    1680miles

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

  3. abbie1
    • 2 years ago
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    @satellite73 ?? do you know how to solve this??

  4. satellite73
    • 2 years ago
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    yes

  5. satellite73
    • 2 years ago
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    and 1680 i think is too far

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

  7. abbie1
    • 2 years ago
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    *5(p+28)

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

  9. satellite73
    • 2 years ago
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    if you call "p" the rate

  10. satellite73
    • 2 years ago
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    yeah what you said at first

  11. satellite73
    • 2 years ago
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    second

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

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

  14. abbie1
    • 2 years ago
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    but how do you get that?!?!?!

  15. satellite73
    • 2 years ago
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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

  16. satellite73
    • 2 years ago
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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

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

  18. satellite73
    • 2 years ago
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    @Anyssah was right , i jumped the gun

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

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

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

  22. abbie1
    • 2 years ago
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    Thank you guys :)

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