Problem 4 (Draining a Tank)

Here is an interesting problem. Consider a tank with a square base and height of 15 feet with a small hole at the bottom used for draining the tank. Suppose you know it takes one hour to fill the tank when the hole at the bottom is plugged. Suppose you also know that when the plug is removed and water is poured into an empty tank (we always pour water into the tank at the same rate), it takes 5 minutes for the water to rise to 10 inches. The question is, how long would it take to empty the tank filled with water by removing the plug ?

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Last modified on Tuesday, January 12, 1999