Question

Apipe can fill a cistern in 10 hours • Due to
leakage at the bottom it is filled.in. 12 hours
when the cirten is full in how many hours will the cistern emptied


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Answer 1

$\red{\textbf{Answer - 60 hours}}$

Step-by-step explanation:

$\red{\textbf{Given:-}}$

$\textsf{When there is no leakage A pipe can fill}$

$\textsf{the cistern in = 10 hours}$

$\textsf{In 1 hour without leakage a pipe can fill}$

$\textsf{ the cistern in = 1/10 hours}$

$\textsf{When there is leakage cistern gets filled}$

$\textsf{in = 12 hours}$

$\textsf{In 1 hour, when there is leakage cistern}$

$\textsf{gets filled in = 1/12 hours}$

$\textsf{In 1 hour, due to leakage cistern gets}$

$\textsf{filled to = 1/10 – 1/12}$

$\textsf{= (12-10)/120}$

$\textsf{2/120 = 1/60 part}$

$\textsf{ Due to leakage the cistern gets emptied in = 1/(1/60)}$

$\textsf{= 60 hours}$