[OK] We use cookies to personalise content and adverts. We also share information about your use of our site with our advertising partners who may combine it with other information you’ve provided to them or they’ve collected from your use of their services. You also agree to our terms and conditions (T&C).

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?

In 24 hours:

- the cold tap could fill 72 baths
- the hot tap could fill 48 baths
- the plug could drain 90 baths
- the leak could drain 12 baths

Therefore, in 24 hours, we have 72 + 48 - 90 - 12 baths full = 18 baths.

Therefore each bath would take 80 minutes to fill.

Back to the puzzles...

Our Favourite Illusions

 Shadow Illusion What Am I? Hidden Faces Impossible Waterfall? Same Eyes? Impossible Prongs?
 Duck Or Rabbit? Spinning Dancer Who Turned To? Blind Spot The Butterfly Parallel Cafe Wall Lines?