Question 857592
6 persons______________8 days______(3/5)job
1 person______________6*8 days_____(3/5)job


One person works at a rate of {{{((3/5)/(6*8))(jobs/day)}}}.
Simplifying the one-person rate,
{{{3/(5*6*8)}}}
{{{highlight_green(3/(5*2*8))}}}----Not changing this form yet, since maybe not need to.


How many more days, if TWO more people join to help?
The remaining building job to do is {{{(2/5)}}}, and now the number of people to do this work is {{{6+2=8}}}, eight people to do this work.


The work rate for these eight people together is now {{{8(3/(2*5*8))=3/(2*5)=highlight_green(3/10)}}} jobs per day.


Uniform rates equation for task completion or work rates goes as R*T=J for Rate, Time(in days here), Job(whatever is to be done to the building).  Putting the numbers in place,
{{{highlight((3/10)*t=2/5)}}} where t is the number of days for this amount of job at that work rate.
-
{{{t=(2/5)(10/3)=4/3=highlight(1&1/3)}}} days more.