SOLUTION: 12 workers take 18 days to renovate a house. After working for 3 days, 4 workers left. Calculate the number of days the remaining workers will need to complete the renovation

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 12 workers take 18 days to renovate a house. After working for 3 days, 4 workers left. Calculate the number of days the remaining workers will need to complete the renovation      Log On


   

Question 955333: 12 workers take 18 days to renovate a house. After working for 3 days, 4 workers left. Calculate the number of days the remaining workers will need to complete the renovation
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time= Output
%2812R%29%2A18=100
So the rate for one worker is,
R=100%2F%2812%2A18%29=25%2F54
.
.
.
For 12 workers working 4 days, their output is,
%284%2F18%29%28100%29=200%2F9
The amount needed to complete the job is,
100-200%2F9=900%2F9-200%2F9=700%2F9
Now there are only 8 workers so,
8%2825%2F54%29%2AT=700%2F9
T=%28700%2F9%29%2854%2F24%29%281%2F8%29
T=21 days

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

12 workers take 18 days to renovate a house. After working for 3 days, 4 workers left. Calculate the number of days the remaining workers will need to complete the renovation
Time taken to complete 5%2F6 of remaining renovation by 8 (12 - 4) workers: highlight_green%2822.5%29 hours