Discussion
X pipe can fill a Tank in 3 Hr. & Y pipe can empty it in 2 Hours. If both are opened together, in how many hours can it be filled?
Answer: B
The tank cannot be filled.
Pipe X fills \(1/3\) of the tank per hour while pipe Y empties \(1/2\) per hour. Together:
\[ \frac{1}{3} - \frac{1}{2} = -\frac{1}{6}\ \text{per hour} \]
The net rate is negative: the emptying pipe is faster than the filling pipe, so starting from empty the tank never fills. 3 Hrs is X alone, and the other times come from adding the rates as if both pipes filled.
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