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Difficulty: MediumPuzzle Details

Puzzle IconMy bath has two taps and a plug hole.

The cold tap on its own fills the bath in 12 minutes, the hot one in 8 minutes.

The plug hole can drain the bath in 24 minutes with the taps off.

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

Show Hint Show Answer Print Puzzle
[Ref: ZWJG] © Kevin Stone 

Answer: 6 minutes.

In 24 hours, the cold tap could fill 120 baths, the hot tap could fill 180 baths and the plug could drain 60 baths.

Therefore, in 24 hours, we have 120 + 180 - 60 baths full = 240 baths.

Therefore each bath would take 6 minutes to fill.


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