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Construction time math
When King Hagan commissioned Brightvale Castle to be built, he had every worker in Brightvale to 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? Can somebody help me with this? I've been working on this for about an hour or so but I'm still kind of confused. |
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When the roof was completed, there was 1/6+1/12+1/7=33/84 of the work. There was then 84/84-33/84=51/84 of work to be done. The floor took half of the time, which is 42/84, so that means that the windows, doors and the moat, which took 5+4=9 days took 51/84-42/84=9/84 of the time.
That means that the whole job took 84 days to get done. |
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