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AMO 2027 Grades 4-5 SET 19 - Self-study Question 7

AMO · AMO 2027 Grades 4-5 SET 19 - Self-study

Question 7

A pump can fill a tank with water in 2 hours. Because of a leak, it took $2\frac23$ hours to fill the tank. How many hours the leak can drain all the water of the tank?

Tank convention: filling starts with an empty tank; pump and leak rates are constant. For the requested draining time, start with a full tank and turn the pump off.