Water flows into an empty 6,000-litre tank at 10 litres per minute during the first hour, and the inflow rises by 5 litres per minute at the start of each later hour. After how many hours is the tank full?

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5 h. Hourly inflows: 600, 900, 1,200, 1,500, 1,800 L. Running totals: 600, 1,500, 2,700, 4,200, 6,000. Full after 5 h. (10 h keeps the rate at 10 L/min.)

Water flows into an empty 6,000-litre tank at 10 litres per minute during the first hour, and the inflow rises by 5 litres per minute at the start of each later hour. After how many hours is the tank full?

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