नल M और नल N दोनों एक साथ 20/3 घंटे में एक टैंक भर सकते हैं। यदि नल M केवल 4 घंटे कार्य करता है, और शेष टैंक नल N केवल 9 घंटे में भरता है। नल N द्वारा टैंक को भरने में कितने घंटे लगेंगे?

  1. 10 घंटे
  2. 12.5 घंटे
  3. 25 घंटे 
  4. 10.5 घंटे 

Answer (Detailed Solution Below)

Option 2 : 12.5 घंटे
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गणना:

प्रश्नानुसार

⇒ (M + N) × 20/3 = 4M + 9N

⇒ 20M + 20N = 12M + 27N

⇒ 8M = 7N

⇒ M/N = 7/8

नल N द्वारा टैंक को भरने के लिए = (4M + 9N)/N की दक्षता

नल N द्वारा टैंक को भरने के लिए = (4 × 7 + 9 × 8)/8 = 100/8 = 25/2

∴ नल N द्वारा टैंक को भरने के लिए 12.5 घंटे हैं।
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