The Greek Gift

After a long war, the Greeks finally decided to build a Trojan Horse to be lured into the heart of Troy. For this architecture, 180 soldiers were initially selected and would normally finish such work in 8 days.

However, after working for some whole days, 84 workmen were recruited back to the troops, leaving the rest to continue building.

Then, after working for some whole days, 16 workmen fell sick, and the remaining soldiers carried out the work for some whole days and eventually finished building the Greek gift.

How many days in total did it take for them to build the Trojan Horse, assuming the work capacity was always constant?

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