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- 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?

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- anonymous

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- Hero

Just a minute please,

- Hero

@JustinSpeedster you still here?

- anonymous

work = men/hour
\[\frac{ 12 }{ 6 }\]\[\frac{ 12 }{ 6 }\ - \frac{ 1 }{ 5 }\]
is that right?

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- anonymous

@Hero sorry for the afk...can you teach me how to solve it? I'm stuck.

- Hero

The key to solving this Is Keeping track of the total man hours

- Hero

It takes 12 men 6 hours to complete the Work

- Hero

multiplying 12 by 6 gets you 72 total man hours necessary to complete the job.

- 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

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

I don't get it T.T

- anonymous

5 hours?

- 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

3 hours

- Hero

yes three hours, now try to understand the reasoning behind this approach.

- anonymous

why did you multiply 12 by 6?

- Hero

To Calculate the total man hours necessary to complete the work.

- 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

I don't like solving it using fractions. That approach is slightly unintuitive.

- Hero

my first train of thought is to calculate total man hours Instead of rate

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