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
Correct Answer: |
B) \( \Large \frac{3}{7} \ hour \) |
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Description for Correct answer:
Part of tank filled by all three pipes in 1 minute
= \( \Large \frac{1}{30} + \frac{1}{45} - \frac{1}{60} = \frac{6 + 4 - 3}{180} \)
= \( \Large \frac{7}{180} \)
= \( \Large \therefore Time taken = \frac{180}{7} minutes \)
= \( \Large \frac{180}{7 \times 60} = \frac{3}{7} hour \)
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