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AMO 2027 Grades 8-9 SET 6 - Self-study Question 10

AMO · AMO 2027 Grades 8-9 SET 6 - Self-study

Question 10

A cistern can be filled by pipe $A$ in 20 hours while it can be emptied by pipe $B$ in 30 hours.

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

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