A pipe can fill a cistern in 10 hours. Due to a leak in the bottom it is filled in 12 hours. When the cistern is full, in how much time will it be emptied by the leak?
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A pipe can fill a cistern in 10 hours. Due to a leak in the bottom it is filled in 12 hours. When the cistern is full, in how much time will it be emptied by the leak?
A pipe can fill a cistern in 10 hours. Due to a leak in the bottom it is filled in 12 hours. When the cistern is full, in how much time will it be emptied by the leak?
The given details are,
When there is no leakage A pipe can fill the cistern in = 10 hours
In 1 hour without leakage A pipe can fill the cistern in = 1/10 hours
When there is leakage cistern gets filled in = 12 hours
In 1 hour, when there is leakage cistern gets filled in = 1/12 hours
In 1 hour, due to leakage cistern gets filled to = 1/10 – 1/12
= (12-10)/120
= 2/120
= 1/60 part
∴ Due to leakage the cistern gets emptied in = 1/(1/60) = 60 hours.