Question
Download Solution PDFA tank can be filled by a pipe P in 32 minutes and by pipe Q in 36 minutes. When it is full, it can be emptied by a pipe R in 20 minutes. If all the three pipes are opened simultaneously, half of the tank will be filled in ________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF⇒ Tank filled by Pipe P in 1 minute = 1/32
⇒ Tank filled by Pipe Q in 1 minute = 1/36
⇒ Tank emptied by Pipe R in 1 minute = 1/20
⇒ Tank filled in 1 minutes when all the three pipes are opened = 1/32 + 1/36 - 1/20
⇒ 13/1440
∴ Half tank will be filled in 720/13 minutes or \(55\frac{5}{13}\;minutes\)Last updated on Jul 18, 2025
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