Question

A tank can be filled by two pipes A and B
in 12 hours and 16 hours, respectively.
While pipe C empties it in 8 hours, find
the time taken to empty the tank if all
three pipes are open (emptying implies
negative).​

Answer 1

Step-by-step explanation:

tank can filled by pipe A=12 hours

then tank can filled in one hour by pipe A=1/12

similarlyB can filled in one hour=1/16

and C can empty in one hour=1/8

now pipes A,B,C can filled in one hour=1/12+1/16-1/8

=(4+3-6)/48

=1/48

tank will not empty when three pipes are open

tank will be filled in 48 hour by three pipes