($$2015$$ National Mathematical Olympiad of Singapore, Special Round, Question \#$$9$$)\hspace{0pt}\hspace{0pt}  There are $$2$$ inlets (namely $$\text{A}$$ and $$\text{B}$$) in a pool. If only inlet $$\text{A}$$ is open, it takes $$36$$ minutes to fill up the empty pool. If only inlet $$\text{B}$$ is open, it takes $$48$$ minutes to fill up the empty pool. Now, inlets $$\text{A}$$ and $$\text{B}$$ will be open in turns, according to such an order, open inlet $$\text{A}$$ for $$1$$ minute, $$\text{B}$$ for $$2$$ minutes, $$\text{A}$$ for $$2$$ minutes, $$\text{B}$$ for $$1$$ minute, $$\text{A}$$ for $$1$$ minute, $$\text{B}$$ for $$2$$ minutes $$\cdots$$ So on and so forth. How long, in the nearest minutes, does it take to fill up the empty pool? 
Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Pool Filling and Draining Word Problems