SOLUTION: It take 8 workers 7 days to build one house. 8:7:1 How long does it take 6 workers to build 3 houses? 6:?:3

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: It take 8 workers 7 days to build one house. 8:7:1 How long does it take 6 workers to build 3 houses? 6:?:3       Log On


   

Question 985397: It take 8 workers 7 days to build one house. 8:7:1
How long does it take 6 workers to build 3 houses? 6:?:3
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Most important is to solve the problem for what it is. This is uniform work rates. RT=J relates rate time amount of job or amount of work.

:
system%288r%2A7=1%2C6r%2At=3%29
Two equations in two unknown variables.


r=1%2F%288%2A7%29
-
6%281%2F%288%2A7%29%29%2At=3
t=3%281%2F6%29%288%2A7%29%2F1
t=%283%2A8%2A7%29%2F6
highlight%28t=28%29