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AMO 2027 Grades 4-5 SET 12 - Self-study Question 13

AMO · AMO 2027 Grades 4-5 SET 12 - Self-study

Question 13

Two pipes A and B can fill a cistern in $37\frac12$ minutes and 45 minutes respectively. Both pipes are opened. For how many minutes is pipe B turned on so that the cistern will be filled in just half an hour?

Operating convention used in the source solution: A stays on throughout all 30 minutes; the cistern starts empty and both rates are constant.