एक टाकी पाईप P द्वारे 32 मिनिटांत आणि पाईप Q द्वारे 36 मिनिटांत भरता येते. जेव्हा टाकी पूर्ण भरलेली असते, तेव्हा ती टाकी पाईप R द्वारे 20 मिनिटांत रिकामी केली जाऊ शकते. जर तिन्ही पाईप एकाच वेळी चालू केले, तर अर्धी टाकी ______ मिनिटांत भरली जाईल.

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RRC Group D Previous Paper 5 (Held On: 23 Sep 2018 Shift 1)
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  1. \(55\frac{3}{5}\;minutes\)
  2. \(55\frac{13}{3}\;minutes\)
  3. \(55\frac{5}{13}\;minutes\)
  4. \(55\frac{2}{5}\;minutes\)

Answer (Detailed Solution Below)

Option 3 : \(55\frac{5}{13}\;minutes\)
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Detailed Solution

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⇒ पाईप P द्वारे 1 मिनिटात भरलेल्या टाकीचे प्रमाण = 1/32

⇒ पाईप Q द्वारे 1 मिनिटात भरलेल्या टाकीचे प्रमाण = 1/36

⇒ पाईप R द्वारे 1 मिनिटात रिकाम्या होणाऱ्या टाकीचे प्रमाण = 1/20

⇒ तीनही पाईप चालू केल्यावर 1 मिनिटात भरलेल्या टाकीचे प्रमाण = 1/32 + 1/36 - 1/20

⇒ 13/1440

∴ अर्धी टाकी 720/13 मिनिटे किंवा \(55\frac{5}{13}\;\) मिनिटांत ​भरली जाईल.
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