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  1. Two pipes X and Y can fill a cistern in 20 minutes and 30 minutes respectively. A third pipe Z can empty it in 40 minutes. How long would it take to fill the cistern if all the three pipes are opened at the same time?

Options:
A .  \(13\frac{1}{3}\)min
B .  \(15\frac{1}{5}\)  min.
C .   \(17\frac{1}{7}\) min.
D .  none of these
Answer: Option C

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