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anonymous

  • one year ago

2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work? ans is 8 or 12.5?

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  1. vanessaperezxo
    • one year ago
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    I think the answer would be 12.5

  2. vanessaperezxo
    • one year ago
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    because for it to be done in 8 day you need 3 men and 2 boys.. so if you have 2 men 1 boy it's going to take a few extra days. Do you get it? @yashiii

  3. vanessaperezxo
    • one year ago
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    @yashiii you there?

  4. anonymous
    • one year ago
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    yup....i think i solved it incorrectly .my ans was 8 ..hehhe

  5. anonymous
    • one year ago
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    @welshfella

  6. vanessaperezxo
    • one year ago
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    Oh ok, i have to go. Good luck solving the problem. sorry

  7. anonymous
    • one year ago
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    bye :) @vanessaperezxo

  8. Michele_Laino
    • one year ago
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    If I call with x the working rate of a man, and with y the working rate of a boy, then I can write this algebraic system: \[\Large \left\{ \begin{gathered} 2x + 3y = \frac{W}{{10}} \hfill \\ 3x + 2y = \frac{W}{8} \hfill \\ \end{gathered} \right.\] where W is the work to be done

  9. phi
    • one year ago
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    2 men and 3 boys can do a piece of work in 10 days 2 men and 1 boy will take longer (less help) so if it's a choice between 8.5 and 12.5, pick 12.5

  10. anonymous
    • one year ago
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    a similar approach is to solve \[10(2x+3y)=1\\ 8(3x+2y)=1\] which is not that elegant but works

  11. anonymous
    • one year ago
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    but as @phi said, common sense tells you it is longer than 8 it is in fact 12.5

  12. anonymous
    • one year ago
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    actually i want correct ans...those ans options were imaginary .:(

  13. anonymous
    • one year ago
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    how did you guess at the correct answer of 12.5?

  14. anonymous
    • one year ago
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    now i got ans 13.5 , so any one can pls tell me the accurate ans

  15. anonymous
    • one year ago
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    12.5 is correct

  16. anonymous
    • one year ago
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    @satellite73 , on any website someone solved it ,but other people were saying that ans is wrong. so m confused

  17. anonymous
    • one year ago
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    we can do it step by step, although i guess there probably a better method than i used

  18. anonymous
    • one year ago
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    put men's rate as x, boys at y the first two statements translates as \[10(2x+3y)=1\\ 8(3x+2y)=1\]

  19. anonymous
    • one year ago
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    solving this for x and y gives \[x=\frac{7}{200},y=\frac{1}{100}\]

  20. anonymous
    • one year ago
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    @Michele_Laino , you have ne idea

  21. anonymous
    • one year ago
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    acha..okay..got it now :)

  22. anonymous
    • one year ago
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    oops i means solve \[T\left(\frac{14}{200}+\frac{1}{100}\right)=1\]

  23. anonymous
    • one year ago
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    and that gives \(T=12.5\)

  24. anonymous
    • one year ago
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    okay

  25. Michele_Laino
    • one year ago
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    I agree with @satellite73 we have to solve that system above, so we can find the requested time

  26. anonymous
    • one year ago
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    like i said, there may be a snappier way to do it, i don't know it

  27. anonymous
    • one year ago
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    @satellite73 , @Michele_Laino , thankyou so much both of you :)

  28. Michele_Laino
    • one year ago
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    :)

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