Math Problem Statement
A cistern can be filled in 20 minutes and 30 minutes by two pipes, A and B, respectively and emptied in 40 minutes by a third pipe, C. How long would it take to fill the cistern when all three pipes are released simultaneously?
Solution
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Math Problem Analysis
Mathematical Concepts
Rate of Work
Algebra
Fractions
Formulas
Net rate = Rate of filling - Rate of emptying
Rate of filling (Pipe A) = 1/20 units per minute
Rate of filling (Pipe B) = 1/30 units per minute
Rate of emptying (Pipe C) = 1/40 units per minute
Time = 1 / Net rate
Theorems
Work-Rate Problems
Suitable Grade Level
Grades 8-10
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