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MathNet 2015-part-02 — 191 problems (EN–VI) Question 138

Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)

Question 138

Three workers must do a work completely. At first, one of them works as long as the other two would work together to complete one half of the work. Then another worker works as long as the other two would work together to complete one half of the work. Finally the third worker works as long as the other two would work together to complete one half of the work. With this, the whole work becomes completed. How many times faster would the work become completed if all the workers worked together?