anonymous
  • anonymous
Annmarie can plow a field in 240 minutes. Gladys can plow a field 80 minutes faster. If they work together, how many minutes does it take them to plow the field?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
amoodarya
  • amoodarya
\[\frac{ A }{ 240 }=\frac{ G }{240-80 }\\A=\frac{3}{4}G\]
anonymous
  • anonymous
so it would be 160?

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amoodarya
  • amoodarya
you have to find A+G
anonymous
  • anonymous
how?
amoodarya
  • amoodarya
oh . sorry i had a mistake
anonymous
  • anonymous
SO WHAT WE DO?
amoodarya
  • amoodarya
\[\frac{ a }{ 240 }=\frac{ g }{160 }\\\frac{ a }{ 24 }=\frac{ g }{16 }\\\frac{ a }{ 3 }=\frac{ g }{2 }\]
anonymous
  • anonymous
then?
phi
  • phi
I would use the idea of rate * time = amount of work rate is how much work you do per minute for example A does 1 field/240 minutes B goes 80 minutes faster so 1 field/160 minutes you can add the rates (1/240 + 1/160)* t = 1 field add the two fractions, and then find t
amoodarya
  • amoodarya
\[\frac{ a }{ 3 }=\frac{ g }{ 2 }=\frac{ a+g }{x }\] find x
amoodarya
  • amoodarya
"phi" said it very simpler ,and clear
anonymous
  • anonymous
96?
phi
  • phi
yes, 96 minutes
anonymous
  • anonymous
thank u guys

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