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    				| 1. | 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? | 
| Answer» 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. | |