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MathNet 2026 — Part 02 Question 140

Math Olympiad Vault · MathNet 2026 — Part 02

Question 140

Filling a pool - An empty pool was filled with water by two taps $A$ and $B$, both with constant flow. For 4 hours, the two faucets were left open and filled $50\%$ from the pool. Then the tap $B$ was closed and for 2 hours the tap $A$ filled the pool volume $15\%$. After this period the tap $A$ was closed and the faucet $B$ opened. How long did this faucet have to stay open for it to finish filling the pool by itself?