Pipe and Cistern

In mathematics and quantitative aptitude, Pipes and Cisterns problems are essentially a localized application of "Time and Work". A cistern represents total capacity, pipes act as workers, and flow rates dictate efficiency. Key Principles • Inlet Pipes: Bring water in (positive work). • Outlet Pipes: Drain water out(negative work). • Formula: Work = Efficiency × Time Core Concepts Basic Time Taken: If a pipe can fill a cistern in x hours, the part filled in 1 hour is 1/x. Multiple Pipes: If two pipes A and B fill a tank in x and y hours respectively, the net portion filled in 1 hour is 1/x + 1/y. Mixed Operations: If an inlet pipe A fills in x hours and outlet pipe B empties in y hours, the net fill rate is 1/x -1/y #UPSC #UGC NET/JRF #SSC CGL #Banking #Railway