IP1U9 Exercise Q4

IP1U9 Exercise Q4

TGM Original Questions

Two workers can decorate a meeting room measuring \(5.5\) m by \(12\) m by \(2\) m in \(3\) hours. Assuming that they all work at the same rate for the same number of hours per day, find

  1. the number of workers needed to decorate a meeting room measuring \(3\) m by \(11\) m by \(24\) m in \(3\) hours,
  2. the number of workers needed to decorate the bigger meeting room in \(1\) hour.

Model check: the room dimensions alone do not specify the amount of decorating work. The answers below assume that work is proportional to room volume, with each worker maintaining the same constant rate. If work instead depends on wall or ceiling area, more information is needed.

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Answer:(i) \(12\) workers; (ii) \(36\) workers, assuming work is proportional to room volume.

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