How many people need to be added to complete the project in 5 days?

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Discussion Overview

The discussion revolves around determining how many additional people are needed to complete a project within a specified timeframe after a pause. The scope includes mathematical reasoning and problem-solving related to project management and workforce allocation.

Discussion Character

  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant suggests that 12 additional people are needed to complete the project in 5 days.
  • Another participant calculates that after 25 days, 2/7 of the job remains, leading to a conclusion that 24 people are required to finish the remaining work in 5 days.
  • Questions arise regarding the calculation of how long it takes one person to complete 2/7 of the job, with one participant explaining that it takes 120 days for one person to do that amount of work.
  • A correction is made regarding the initial time frame, changing the project pause from 25 days to 24 days, which affects the calculations.
  • One participant calculates that to complete the remaining 11/35 of the job in 6 days, 22 people are needed, resulting in a need for 10 additional workers.
  • Another participant proposes a formula to calculate the number of people needed based on the remaining work and time constraints.
  • A different perspective suggests that since 12 people can complete 5/35 of the project in 5 days, double the workforce is necessary to meet the deadline.

Areas of Agreement / Disagreement

Participants express differing views on the number of additional people required, with calculations leading to various conclusions. There is no consensus on the correct number of additional workers needed.

Contextual Notes

Participants rely on different interpretations of the project timeline and the amount of work completed, leading to varying calculations. The discussion includes corrections to initial assumptions and varying methods of approaching the problem.

Monoxdifly
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A project can be done in 35 days by 12 people. However, after 25 days the project paused for 5 days. How many people need to be added?

I guess it's 12. Am I right?
 
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After 25 days, 2/7 of the job is left to be done. 1 person can do 2/7 of the job in 120 days, so it would take 120/5 = 24 people to do 2/7 of the job in 5 days, so yes, 12 people need to be added. :D
 
How did you get that 120 days?
 
Monoxdifly said:
How did you get that 120 days?

1 person can do the entire job in 12*35 = 420 days, so it would take 1 person (2/7)(420) = 120 days to do 2/7 of the job.
 
Sorry, I did a typo in the first post. It should be like this:
Monoxdifly said:
A project can be done in 35 days by 12 people. However, after 24 days the project paused for 5 days. How many people need to be added?

I guess it's 12. Am I right?

Being said, guess 12 isn't correct.
 
So "after 24 days" rather than "after 25 days"? That's odd- it just makes the numbers messier. Do the same thing MarkFl did. 24/35 of the job has already been done. In order that the job still be completed in the full 35 days, we must complete the 1- 24/35= 11/35 of the job in the remaining 6 days. That means we must complete (11/35)/6= 11/210 job per day. Since the original 12 people could do the job in 35 days, each person works at 1/(35*12)= 1/420 "job per day". To do 11/210 job at a rate of 1/420 job per person, we must have (11/210)/(1/420)= (11/210)(420/1)= 22 people. We must add 22- 12= 10 new people.
 
So, basically the calculation is $$\frac{12\times(35-(24+5)+5)}{6}$$?
 
25/35 of the project is completed
12 people can do 1/35 a day
you need to do 10/35 in 5 days
12 people can do 5/35 in 5 days
so you need twice as more people
 

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