एक आगम नळ एक रिकामी टाकी 120 तासांत भरू शकतो तर निर्गम नळ 54 तासांत पूर्णपणे भरलेली टाकी रिकामी करतो. टाकी रिकामी असताना 8 आगम नळ आणि 3 निर्गम नळ एकाच वेळी उघडल्यास टाकी किती तासांत पूर्ण भरेल?

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 1)
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  1. 81
  2. 96
  3. 72
  4. 90

Answer (Detailed Solution Below)

Option 4 : 90
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दिलेले आहे:- 

एक आगम नळ एक रिकामी टाकी 120 तासांत भरू शकतो  

वापरलेले सूत्र:-

टाकीची एकूण क्षमता (कार्य) = कार्यक्षमता × वेळ

गणना:- 
 
  वेळ कार्यक्षमता एकूण काम
आगम नळ 120 9 1080
निर्गम नळ 54 20

प्रश्नानुसार, 

8 आगम नळ आणि 3 निर्गम नळ एकाच वेळी सुरू केले जातात

⇒ 1 तासात केलेले काम = 8 × 9 - 20 × 3 

⇒ 72 - 60 = 12

म्हणून,

वेळ = 1080/12 = 90  

∴ अपेक्षित उत्तर 90 
आहे.
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