SOLUTION: Ten painters working 8 hours daily take 15 days to paint 3 houses of 4 rooms each.How many painters working 6 hours daily for 25 days will be required to paint 12 houses of 3 rooms

Algebra ->  Finance -> SOLUTION: Ten painters working 8 hours daily take 15 days to paint 3 houses of 4 rooms each.How many painters working 6 hours daily for 25 days will be required to paint 12 houses of 3 rooms      Log On


   

Question 1007469: Ten painters working 8 hours daily take 15 days to paint 3 houses of 4 rooms each.How many painters working 6 hours daily for 25 days will be required to paint 12 houses of 3 rooms each?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Ten painters working 8 hours daily take 15 days to paint 3 houses of 4 rooms each. How many painters working 6 hours daily for 25 days will be required to paint 12 houses of 3 rooms each?
----------------------------------------------------------------- 
This problem is the-rate-of-work problem, and the equation is an equality of rate-of-work for both cases.

Rate of work in the first case is 

%283%2A4%29%2F%2810%2A8%2A15%29 rooms%2F%28painter_x_hour%29.

Rate of work in the second case is 

%2812%2A3%29%2F%28x%2A6%2A25%29 rooms%2F%28painter_x_hour%29.

So, an equation is 

%283%2A4%29%2F%2810%2A8%2A15%29 = %2812%2A3%29%2F%28x%2A6%2A25%29,

assuming that the rooms are identical and rate-of-work of each painter is the same.

Solve this equation to find x, the number of painters required for the second case.