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Logic Quiz

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detective | 14:46 Sat 10th Mar 2007 | Quizzes & Puzzles
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Your bath has two taps. With the plug in, one will fill the bath in four minutes; the other will fill the bath in five minutes. The bath takes two and a half minutes to empty from full. With both taps ON and the plug OUT, how long will the bath take to fill?
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Avatar Image crofter
20 minutes
14:55 Sat 10th Mar 2007
Avatar Image sarumite
Thanks crofter .. I was just going to suggest 10 minutes, but my mathematics is obviously a bit rusty now!
14:58 Sat 10th Mar 2007
Avatar Image crofter
In 20 minutes, Tap 1 can fill 5 baths and Tap 2 can fill 4 baths making 9 baths in all. However the plug is out and in this time we could empty 8 baths.

Hence gain 9 and lose 8 leaves one bath full!
15:00 Sat 10th Mar 2007

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