SOLUTION: I need help with this question: Your house can be painted by 2 persons in 8 days. How many extra persons should you hire if the job needs to be completed in 6 days? If you ca

Click here to see ALL problems on Miscellaneous Word Problems

Question 396307: I need help with this question:
Your house can be painted by 2 persons in 8 days. How many extra persons should you hire if the job needs to be completed in 6 days?
If you can please help me with this question, that would be great.
Thank You!
Kind Regards,
Anonymouse Person Who Needs Help
Found 2 solutions by josmiceli, sudhanshu_kmr:
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
This type of problem is about adding
the rates at which people work to get
the final rate at which the job is finished
You want an equation that looks like:
(fraction of job)/(time to do it) + (different fraction of job)/(time to do it)
= (1 whole job)/(time to do the whole job)
-------------------------
You start out with 2 people working. What part of the job
does each one do in 8 days?
Each one can do 1/2 of the job in 8 days
Every additional person can be expected to do (1 job)/(16 days)
So far I've got:

Note that represents the number of extra persons to hire

Multiply both sides by

Multiply bopth sides by

You can't hire 2/3 of a person. so 1 extra person must be hired
Hope I got it

Answer by sudhanshu_kmr(1152) (Show Source):
You can put this solution on YOUR website!

To complete the work in 8 days require 2 persons
so, to complete in 1 days .............2*8 = 16 persons
to complete in 6 days.................2*8/6 = 2.66
it means 3 persons are required to complete the work in 6 days..

so, only one extra person need to hire.

work will complete in 16/3 = 5 + 1/3 days