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

AMO · AMO 2027 Grades 8-9 SET 13 - Self-study

Question 9

Example 1. Two pipes $A$ and $B$ can fill a tank in 20 minutes and 30 minutes respectively.

a) If both pipes are opened simultaneously, then find the time taken to fill the tank.

b) If pipe $A$ is opened first, after 10 minutes pipe $B$ is also opened. Find the total time taken to fill the whole tank.

c) If pipe $A$ is opened for 4 minutes and closed. Find the time taken by $B$ alone to fill remaining part of the tank.

**Editorial input convention:** Enter the three times in minutes, in a–c order, separated by commas.

**Editorial input note:** Use no spaces before or after commas.