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Two pipes A and B together can fill a tank in 18 hours. If A alone takes 1/2 of the time of thrice B’s time, then the time taken by B alone to fill the tank is:

32 hrs
30 hrs
28 hrs
24 hrs
Explanation:

Suppose B alone takes X hours to fill the tank.
Then, A takes = 1/2 of 3X = 3X/2 hours.
Now, B’s 1 hours work = 1/X and A’s 1 hours work = 2/3X.
Given that, (A + B) takes = 18 hours.
Then (A + B)’s 1 hour’s work = 1/18.
Therefore, 1/18 = 1/X + 2/3X.
5/3X = 1/18
X = 30.
Hence, B takes 30 hrs to fill the tank alone.

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