A pipe can fill a cistern in 6 hours

Asked by admin @ 13/08/2021 in Math viewed by 345 People

A pipe can fill a cistern in 6 hrs. Due to leak in the bottom it is filled in 7 hrs. When the cistern is full, in how many time will it be emptied by the leak

Answered by admin @ 13/08/2021

Answer:

42 hrs.

Step-by-step explanation:

Since a pipe fills a cistern in 6 hrs it means that a pipe can fill a cistern 1/6 of it every hr.

Due to the leak, the time extended to 7 hrs, which means a pipe tries to fill up a cistern by 7/6 of it...Meaning that 1/6 of a cistern is leaked during the 7 hrs.

Meaning that every hour it leaks by 1/42

## The cistern will be emptied in 42 hours by the leak...

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