A garrison of $500$ soldiers has provisions enough for $30$ days. If $100$ more soldiers join, how long will…

A garrison of $500$ soldiers has provisions enough for $30$ days. If $100$ more soldiers join, how long will the same provisions last?
  1. $22$ days
  2. $24$ days
  3. $25$ days
  4. $28$ days

Solution

Inverse: (men) $\times$ (days) constant. $500 \times 30 = 600 \times d \Rightarrow d = 25$ days.

Asked in: IMO

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