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. 7B. 8C. 11D. 12

C

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AcE LoVe ZaNE

  • Nov 14th, 2007
 

   8/6 + 6/8 + x/12 = 3

   24  [8/6 + 6/8 + x/12 = 3]

   4(8) + 3(6) + 2x = 72

    32 + 18 + 2x = 72

    50 + 2x = 72

    2x = 72 - 50

    2x = 22
   
   Divide both sides by 2 to get the "x"

     x = 11


So the answer is "C"
  

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