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AMO 2027 Grades 4-5 SET 18 - Self-study Question 11

AMO · AMO 2027 Grades 4-5 SET 18 - Self-study

Question 11

Two pipes can fill a tank in 10 hours and 12 hours, respectively while a third pipe empties the full tank in 20 hours. If all the three pipes operate together, in how much time the tank will be filled, in minutes?

Tank convention: the tank is initially empty and all three pipes work at their stated constant rates throughout.