A pipe fills a tank in $5$ hr but a leak at the bottom can empty the full tank in $30$ hr. With the pipe on…

A pipe fills a tank in $5$ hr but a leak at the bottom can empty the full tank in $30$ hr. With the pipe on and leak active, the tank fills in:
  1. $5$ hr $30$ min
  2. $6$ hr
  3. $6$ hr $30$ min
  4. $7$ hr

Solution

Net rate $= \dfrac{1}{5} - \dfrac{1}{30} = \dfrac{6 - 1}{30} = \dfrac{5}{30} = \dfrac{1}{6}$. Time $= 6$ hr.

Asked in: IMO

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