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anonymous

  • one year ago

Word Problems Help! 12 men take 6 hours to finish a work. After the 12 men have worked for 1 hour, the contractor decides to call in 8 more men so that the work can be completed earlier. How many hrs would 20 men take to complete the remaining work?

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  1. Hero
    • one year ago
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    Just a minute please,

  2. Hero
    • one year ago
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    @JustinSpeedster you still here?

  3. anonymous
    • one year ago
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    work = men/hour \[\frac{ 12 }{ 6 }\]\[\frac{ 12 }{ 6 }\ - \frac{ 1 }{ 5 }\] is that right?

  4. anonymous
    • one year ago
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    @Hero sorry for the afk...can you teach me how to solve it? I'm stuck.

  5. Hero
    • one year ago
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    The key to solving this Is Keeping track of the total man hours

  6. Hero
    • one year ago
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    It takes 12 men 6 hours to complete the Work

  7. Hero
    • one year ago
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    multiplying 12 by 6 gets you 72 total man hours necessary to complete the job.

  8. Hero
    • one year ago
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    They tell us that the 12 men have already worked 1 hour or 12 man ho urs so We Subtract 12 from 72 to get 60 Man hours remaining

  9. Hero
    • one year ago
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    They add eight more men to this project so at that point , we have 20 men and 60 Man hours left to complete the job. How many hours will it take?

  10. anonymous
    • one year ago
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    I don't get it T.T

  11. anonymous
    • one year ago
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    5 hours?

  12. Hero
    • one year ago
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    At this point you divide 60 by 20 to get the number of hours it will take the 20 men to complete the job.

  13. anonymous
    • one year ago
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    3 hours

  14. Hero
    • one year ago
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    yes three hours, now try to understand the reasoning behind this approach.

  15. anonymous
    • one year ago
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    why did you multiply 12 by 6?

  16. Hero
    • one year ago
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    To Calculate the total man hours necessary to complete the work.

  17. anonymous
    • one year ago
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    OH I see..I guess it was easy after analyzing it. I feel like a stupid now. The conflict that I encountered was the forming of equation. I failed to calculate the man hours....I was focused on solving the rate on how 1 worker/hour to solve everything. Oh well. Thanks for the help, HERO. Another lesson well taught. :D

  18. Hero
    • one year ago
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    I don't like solving it using fractions. That approach is slightly unintuitive.

  19. Hero
    • one year ago
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    my first train of thought is to calculate total man hours Instead of rate

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