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anonymous

  • one year ago

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?

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  1. anonymous
    • one year ago
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    @amoodarya

  2. amoodarya
    • one year ago
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    \[\frac{ A }{ 240 }=\frac{ G }{240-80 }\\A=\frac{3}{4}G\]

  3. anonymous
    • one year ago
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    so it would be 160?

  4. amoodarya
    • one year ago
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    you have to find A+G

  5. anonymous
    • one year ago
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    how?

  6. amoodarya
    • one year ago
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    oh . sorry i had a mistake

  7. anonymous
    • one year ago
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    SO WHAT WE DO?

  8. amoodarya
    • one year ago
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    \[\frac{ a }{ 240 }=\frac{ g }{160 }\\\frac{ a }{ 24 }=\frac{ g }{16 }\\\frac{ a }{ 3 }=\frac{ g }{2 }\]

  9. anonymous
    • one year ago
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    then?

  10. phi
    • one year ago
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    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

  11. amoodarya
    • one year ago
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    \[\frac{ a }{ 3 }=\frac{ g }{ 2 }=\frac{ a+g }{x }\] find x

  12. amoodarya
    • one year ago
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    "phi" said it very simpler ,and clear

  13. anonymous
    • one year ago
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    96?

  14. phi
    • one year ago
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    yes, 96 minutes

  15. anonymous
    • one year ago
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    thank u guys

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