anonymous
  • anonymous
Mr. Fields spend 6 hours on a trip out into the country and back. he walked out at the rate of 4 mph and walked back at the rate of 2 mph. how far out into the country did he go?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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inkyvoyd
  • inkyvoyd
2*4+4*2=16
Hero
  • Hero
d = rt d = 4*6 d = 24 mi
anonymous
  • anonymous
find two expressions for the time put d = distance then time going is \(\frac{d}{4}\) and time returning is \(\frac{d}{2}\) total time is \[\frac{d}{4}+\frac{d}{2}=6\] solve this for d

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anonymous
  • anonymous
\[\frac{6d}{8}=6\] \[6d=6\times 8\] \[d=8\]
inkyvoyd
  • inkyvoyd
Whoops, I forgot to divide my number by two. Sorry!
anonymous
  • anonymous
it's ok..
Hero
  • Hero
@satellite, I think the question only wanted how far into the country Mr. Fields went.
anonymous
  • anonymous
yes, that is what i solved for
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anonymous
  • anonymous
@Hero 6 is the total time there and back, not the time going we can check that the answer is correct. 8 miles there, and \[\frac{8}{4}+\frac{8}{2}=2+4=6\] so six hours total
Hero
  • Hero
I've done problems similar to this. It means 6 hours there, and 6 hours back. If it means something other than that, then these problems are inconsistent.
Hero
  • Hero
Trust me, I looked it up personally and other d = rt problems had that same "6 hours there and back" type of question
Hero
  • Hero
I don't like the wording of them because it can be mis-interpreted.

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