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AMO 2027 Grades 8-9 SET 14 - Self-study Question 13

AMO · AMO 2027 Grades 8-9 SET 14 - Self-study

Question 13

Example 6. In how many minutes can a tank be filled by three pipes whose diameter are 1 cm, 2 cm and 3 cm? Given that the largest pipe alone can fill it in 21 minutes and the amount of water flowing through the pipe is directly proportional to the square of its diameter.

**Editorial input convention:** All three pipes operate simultaneously at constant rates into an initially empty tank, with no other flows. Use the given 21 minutes for the largest pipe. Enter minutes.