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

  • MHB
  • Thread starter Monoxdifly
  • Start date
  • Tags
    Ratio
In summary, to complete the project in 35 days with a 5-day pause after 24 days, 24 people need to be added to the 12 existing people, for a total of 36 people.
  • #1
Monoxdifly
MHB
284
0
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?
 
Mathematics news on Phys.org
  • #2
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
 
  • #3
How did you get that 120 days?
 
  • #4
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.
 
  • #5
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.
 
  • #6
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.
 
  • #7
So, basically the calculation is \(\displaystyle \frac{12\times(35-(24+5)+5)}{6}\)?
 
  • #8
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
 

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

What is the [ASK] Ratio of Workers?

The [ASK] Ratio of Workers is a measurement used to determine the number of employees in a company or industry compared to the total number of individuals in the workforce.

How is the [ASK] Ratio of Workers calculated?

The [ASK] Ratio of Workers is calculated by dividing the number of employees in a company or industry by the total number of individuals in the workforce and multiplying by 100.

Why is the [ASK] Ratio of Workers important?

The [ASK] Ratio of Workers is important because it provides insight into the employment trends and labor market conditions within a specific company or industry. It can also indicate the level of competition for workers within a particular sector.

What does a high [ASK] Ratio of Workers indicate?

A high [ASK] Ratio of Workers may indicate a labor surplus, meaning there are more workers available than there are job openings. This could lead to lower wages and a more competitive job market.

What does a low [ASK] Ratio of Workers indicate?

A low [ASK] Ratio of Workers may indicate a labor shortage, meaning there are more job openings than there are workers available. This could lead to higher wages and a less competitive job market.

Back
Top