In a vessel full of wine there are three taps such that if one opens the largest it will empty the vessel in 3 hours, if one opens the middle tap it w empty it in 4 hours, and if one uses the smallest tap it will empty it in 6 hours. How long would it take to empty the vessel if all three taps were

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 27E
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n Nicolas Chuquet's Triparty of 1484:
In a vessel full of wine there are three taps such that if one opens the
largest it will empty the vessel in 3 hours, if one opens the middle tap it will
empty it in 4 hours, and if one uses the smallest tap it will empty it in 6
hours. How long would it take to empty the vessel if all three taps were
open?
Transcribed Image Text:n Nicolas Chuquet's Triparty of 1484: In a vessel full of wine there are three taps such that if one opens the largest it will empty the vessel in 3 hours, if one opens the middle tap it will empty it in 4 hours, and if one uses the smallest tap it will empty it in 6 hours. How long would it take to empty the vessel if all three taps were open?
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