Pipe and Cisterns
A pipe P,can fill an empty tank in 12 min and another pipe Q, can empty same tank in 20 min. Pipe P is configured to close automatically when the water level reaches in the tank reaches 3/4th of the height of the tank and simultaneously the pipe Q opens and operates until the water level fall to exactly 1/4th of the height of the tank after which it closes and simultaneously P opens. If this process continues indefinitely, what portion of the tank is filled after exactly one hour?(assume that tank is initially empty)
A pump can be used for filling as well as for emptying a tank. The capacity of the tank is 1500 m3. The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 5 minutes lesser to empty the tank than it needs to fill it. What is the emptying capacity of the pump?
Two taps are running continuously to fill a tank. The 1st tap could have filled it in 5hrs by itself and second can fill it in 20 hours . But the operator failed to realise that there was a leak in the tank from begining which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.