A tank with an inlet that fills it in 3 hours also has three outlets that empty it in 8, 12 and 24 hours. The inlet is opened on the empty tank at 9 a.m., and all three outlets are opened together at 10 a.m. At what time will the tank be full?

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Accepted Answer

6 p.m.. In 24ths: inlet 8, outlets 3 + 2 + 1 = 6. By 10 a.m.: 8. Then net 2 per hour; the last 16 take 8 h → 6 p.m. (12 noon ignores the outlets.)

A tank with an inlet that fills it in 3 hours also has three outlets that empty it in 8, 12 and 24 hours. The inlet is opened on the empty tank at 9 a.m., and all three outlets are opened together at 10 a.m. At what time will the tank be full?

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