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Puzzle - Hint

My bath has two taps and a plug hole - and a leak!

The cold tap on its own fills the bath in 20 minutes, the hot one in 30 minutes.

The plug hole can drain the bath in 16 minutes with the taps off.

The leak would empty a full bath in 2 hours.

How long will the bath take to fill if I leave both taps on with the plug left out?

 [Ref: ZVUO] © Kevin Stone

Hint: How many baths could be filled in 24 hours?

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