SOLUTION: A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Bla

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Bla      Log On


   



Question 262229: A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?
A. 7 B. 8 C. 11 D. 12

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
we have a working together problem. Here is an equation to start us out:
%281%2F6%29%2A8+%2B+%281%2F8%29%2A6+%2B+%281%2F12%29%2Ax+=+3
step 1 - multiply by common denominator of 24 to get
32+%2B+18+%2B+2x+=+72
adding we get
50+%2B+2x+=+72
subtract 50 to get
2x+=+22
divide by 2 to get
x+=+11