A leak in the bottom of a tank can empty it in 6 hr. A pipe fills the tank at 4 litre per minutes. When the tank is full, the inlet is opened, but due to the leak the tank is emptied in 8 hr. What is the capacity of the tank?


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Let the capacity of the tabk be V
A leak can empty the tank in 6 hours , so leak speed = V/6

The pipe fills the tank with 4L/min so speed = 240l/hr

The tank gets emptied in 8 hours when the pipe is used with a leak

V = 8*(V/6 - 240)
V/6 - V/8 = 240
V/24 = 240 so V = 5760


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