A pipe can fills a cistern in 6hours. Due to a leak in the bottom it is filled in 7hours. When the cistern is full, in how much time will it be emptied by the leak?
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Answer:
Let us call the pipe Pipe A.
Pipe A fills the cistern in 6hrs
so in one hr Pipe A fills 1/6th of the cistern.
However with the leak it takes 7hrs for Pipe A to fill the cistern.
Hence in one hour the cistern will have 1/7th left in.
So the difference between not leaking and leaking is 1/6 - 1/7 = 1/42 th of the cistern
this is amount of leak per hour.
Hence it will take 42 hours to fully empty the cistern
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