A pipe can fill a tank in 12 hours

Asked by admin @ in Math viewed by 385 People

A pipe can fill a tank in 12 hrs . By mistake , a waste pipe at the bottom is left opened and the tank is filled in 16 hrs . if the tank is full, how much time will the waste pipe take to empty it?

Answered by admin @


Given that the pipe can fill a tank without any leak in 12 hrs.

Work done without leak in 1 hour = 1/12.


Given that the waste pipe can fill a tank with leak in 16 hrs.

Work done with leak in 1 hour = 1/16.


Now,

Work done by leak in 1 hour = 1/12 - 1/16

                                               = 4 - 3/48

                                               = 1/48.


So, the total time taken to empty it = 48 hours.

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