SOLUTION: three workers can paint a house in 14 days. assuming that the workers work at the same rate, how many more workers need to be hired to finish painting the house 8 days earlier?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: three workers can paint a house in 14 days. assuming that the workers work at the same rate, how many more workers need to be hired to finish painting the house 8 days earlier?      Log On


   



Question 884395: three workers can paint a house in 14 days. assuming that the workers work at the same rate, how many more workers need to be hired to finish painting the house 8 days earlier?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
three workers can paint a house in 14 days
So, each painter's rate of working is:
( 1/3 house ) / ( 14 days ) = +1%2F42+
( 1 house ) / ( 42 days )
------------------------------------
8 days earlier is +14+-+8+=+6+ days
-----------------------------------
A total of 7 painters can work at a rate of:
+7%2A%281%2F42%29+=+1%2F6+ or 1 house in 6 days
-----------------------------------
That means there needs to be +7+-+3+=+4+
additional painters