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The unplugged bath (Posted on 2002-07-03) Difficulty: 3 of 5
(This is an old chestnut of a puzzle, but with a slight twist)

It takes six minutes for just the cold tap to fill my bath with water.

The hot tap fills the bath at the same rate, but unfortunately (due to some strange plumbing) after the hot tap has been running for three minutes its supply of water shuts off for a full two and a half while the hot water tank refills and reheats - after the two and a half minutes, the hot tap commences dispensing water once again.

With the plug pulled out, a full bath empties (at a uniform rate) in only four minutes.

With the hot water tank full and the plug pulled out, how long will it take my bath to fill if I turn both taps on?

See The Solution Submitted by Nick Reed    
Rating: 3.1250 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution? | Comment 1 of 18
For cold tap it takes 6 minutes to fill 1 bath. So the speed of the tap is 1/6. Concerning the hot water tap in three minutes it will fill 1/2 the bath because it is idle for 2 and a 1/2 minutes it is actually filling the bath half full in 5 and a half minutes. So its speed will be 1/11. Speed of unplugging is 1/4. So the time taken is

1 divided by 1/6 - 1/11- 1/4

132 minutes?

  Posted by Dulanjana on 2002-07-03 04:24:40
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