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

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

Question 8

Exercise 3. One filling pipe $A$ is 5 times faster than second filling pipe $B$. If $B$ can fill a cistern in 36 minutes, find the time when the cistern will be full if both fill pipes are opened simultaneously.

**Editorial input convention:** Assume constant rates, an initially empty tank and no other flows. Both readings of “5 times faster” are accepted: A’s rate is 5 times B’s, or A is 500% faster so its rate is 6 times B’s. Enter the corresponding time in minutes.