Please turn on javascript in your browser to play chess.
Posers and Puzzles

Posers and Puzzles

  1. Standard member Daemon Sin
    I'm A Mighty Pirateā„¢
    29 Apr '05 15:49
    A King commissioned a Castle to be built, he had every worker in the town help build it, so that it would be done as quickly as possible.

    The construction schedule went as follows: The foundations took exactly 1/6 of the total construction time. The walls took up the next 1/12 of the construction time. The roof was completed over the next 1/7 of the total construction time. Over the next five days, the windows and doors were placed in the castle. The workers spent half of the construction time building the floors after that was done. After that was done, the next four days were spent digging the moat.
    How many days total were spent building the castle?
  2. 29 Apr '05 16:18
    84?
  3. Standard member chuck l
    nothing good to say
    29 Apr '05 17:41
    Originally posted by Daemon Sin
    A King commissioned a Castle to be built, he had every worker in the town help build it, so that it would be done as quickly as possible.

    The construction schedule went as follows: The foundations took exactly 1/6 of the total construction time. The walls took up the next 1/12 of the construction time. The roof was completed over the next 1/7 of the t ...[text shortened]... ext four days were spent digging the moat.
    How many days total were spent building the castle?
    108 days I believe......
  4. Standard member PBE6
    Bananarama
    29 Apr '05 18:18
    Originally posted by chuck l
    108 days I believe......
    I'm with Mephisto - 84 days.

    Let "t" be the total construction time. Then:

    t/6 + t/12 + t/7 + 5 + t/2 + 4 = t

    t(1 - 1/6 - 1/12 - 1/7 - 1/2) = 9

    t[(84 - 14 - 7 - 12 - 42)/84] = 9

    t = 9 * (84 / 9) = 84
  5. Standard member chuck l
    nothing good to say
    30 Apr '05 04:48
    Originally posted by PBE6
    I'm with Mephisto - 84 days.

    Let "t" be the total construction time. Then:

    t/6 + t/12 + t/7 + 5 + t/2 + 4 = t

    t(1 - 1/6 - 1/12 - 1/7 - 1/2) = 9

    t[(84 - 14 - 7 - 12 - 42)/84] = 9

    t = 9 * (84 / 9) = 84
    yep, that's right.....I hate it when I make simple math errors.........grrrrrrrr!!!!