Pipe A can fill a Tank in 18 Hours Pipe B can empty a Tank in 12 Hours Pipe C can fill Tank in 6 Hou...........

Quantitative Aptitude ( CCS) Pipes&cistern

Pipe A can fill a Tank in 18 Hours, Pipe B can empty a Tank in 12 Hours, Pipe C can fill Tank in 6 Hours. The Tank is already filled up to 1/6 of its capacity. Now Pipe A is opened in the First Hour alone, Pipe B is opened in the Second Hour alone and Pipe C is opened in the Third Hour alone. This cycle is repeated until the Tank gets filled. Then in How many Hours does the rest of Tank gets filled?

15 Hours

18 Hours

20 Hours

24 Hours

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Explanation:

Answer & Explanation
Answer – B. 18 Hours
Explanation :
In First Hour Tank filled = 1/6+1/18
Second Hour = 1/6+1/18-1/12
Third Hour = 1/6+1/18-1/12+1/6 = 11/36 is filled
25/36 is left
From then 3 hours work = 1/18-1/12+1/6 = 5/36
5*3 Hours = 5*5/36 = 25/36
Total = 5*3+3 = 18 Hours