Question
Three pipes P, Q and R which are used to fill a tank. Each of the three pipes can be used either as an inlet pipe or as an outlet pipe. Each of the pipes P, Q and R can individually fill/empty the tank in 18 hours, 27 hours and 30 hours respectively. On a given day one pipe becomes outlet pipe and the remaining pipes become inlet and this continues alternatively. If on first day pipe P becomes outlet pipe, next day pipe Q and pipe R the following day, then in how many days will the tank be filled?
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