Pipe A can fill a tank in 30 minutes while pipe B can fill it in 45 minutes. Another pipe C can empty a full tank in 60 minutes. If all three pipes are opened simultaneously, the empty tank will be filled in

A) \( \Large \frac{2}{7} \ hour \)
B) \( \Large \frac{3}{7} \ hour \)

C) \( \Large \frac{4}{7} \ hour \)
D) \( \Large \frac{5}{7} \ hour \)

Correct answer:
B) \( \Large \frac{3}{7} \ hour \)

Description for Correct answer:
Part of tank filled by all three pipes in 1 minute

= \( \Large \frac{1}{30} + \frac{1}{45} - \frac{1}{60} = \frac{6 + 4 - 3}{180} \)

= \( \Large \frac{7}{180} \)

= \( \Large \therefore Time taken = \frac{180}{7} minutes \)

= \( \Large \frac{180}{7 \times 60} = \frac{3}{7} hour \)

Please provide the error details in above question

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