A tank has a leak at the bottom that can drain the entire tank in 6 hours. An inlet pipe supplies water at a rate of 4 liters per minute. When the tank is full, the inlet is opened, but due to the leak, the tank takes 8 hours to empty. What is the total capacity of the tank?

Explanation

Let the tank capacity be X liters. The leak empties the tank in 6 hours, so the leak's rate is X/6 liters per hour. The inlet adds water at 4 liters per minute, which is 240 liters per hour. When both are working, the tank empties in 8 hours, so the net outflow rate is X/8 liters per hour. Setting up the equation: (X/6) - 240 = X/8. Solving for X gives X = 5760 liters.