anonymous
  • anonymous
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?
Mathematics
chestercat
  • chestercat
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Hero
  • Hero
Just a minute please,
Hero
  • Hero
@JustinSpeedster you still here?
anonymous
  • anonymous
work = men/hour \[\frac{ 12 }{ 6 }\]\[\frac{ 12 }{ 6 }\ - \frac{ 1 }{ 5 }\] is that right?

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anonymous
  • anonymous
@Hero sorry for the afk...can you teach me how to solve it? I'm stuck.
Hero
  • Hero
The key to solving this Is Keeping track of the total man hours
Hero
  • Hero
It takes 12 men 6 hours to complete the Work
Hero
  • Hero
multiplying 12 by 6 gets you 72 total man hours necessary to complete the job.
Hero
  • Hero
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
Hero
  • Hero
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?
anonymous
  • anonymous
I don't get it T.T
anonymous
  • anonymous
5 hours?
Hero
  • Hero
At this point you divide 60 by 20 to get the number of hours it will take the 20 men to complete the job.
anonymous
  • anonymous
3 hours
Hero
  • Hero
yes three hours, now try to understand the reasoning behind this approach.
anonymous
  • anonymous
why did you multiply 12 by 6?
Hero
  • Hero
To Calculate the total man hours necessary to complete the work.
anonymous
  • anonymous
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
Hero
  • Hero
I don't like solving it using fractions. That approach is slightly unintuitive.
Hero
  • Hero
my first train of thought is to calculate total man hours Instead of rate

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