एक टंकी पाइप P द्वारा 32 मिनट और पाइप Q द्वारा 36 मिनट में भरी जा सकती है। जब यह भरी हुई होती है, यह पाइप R द्वारा 20 मिनट में खाली की जा सकती है। यदि तीनों पाइप एक साथ खुले हुए हैं, तब आधी टंकी _______ में भर जाएगी।

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

Answer (Detailed Solution Below)

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

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⇒ नल P द्वारा 1 मिनट में भरी गयी टंकी = 1/32

⇒ नल Q द्वारा 1 मिनट में भरी गयी टंकी = 1/36

⇒ नल R द्वारा 1 मिनट में खाली की गयी टंकी = 1/20

⇒ तीनो नलों के खुला होने पर 1 मिनट में भरी गयी टंकी = 1/32 + 1/36 - 1/20

⇒ 13/1440

∴ आधी टंकी 720/13 मिनट या \(55\frac{5}{13}\;\)मिनट में भर जाएगी।
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