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ఇన్లెట్ పైపు ఖాళీ ట్యాంకును 120 గంటల్లో నింపగలదు, అవుట్లెట్ పైపు 54 గంటల్లో పూర్తిగా నిండిన ట్యాంకును ఖాళీ చేస్తుంది. ఒకవేళ 8 ఇన్లెట్  పైపులు మరియు 3 అవుట్లెట్ పైపులు ఒకేసారి తెరవబడినట్లయితే, ట్యాంకు ఖాళీగా ఉన్నప్పుడు, అప్పుడు ఎన్ని గంటల్లో ట్యాంక్ పూర్తిగా నిండుతుంది?

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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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Detailed Solution

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ఇచ్చింది:- 

ఇన్లెట్ పైప్ 120 గంటల్లో ఖాళీ ట్యాంకును నింపగలదు.  

ఉపయోగించిన సూత్రం:-

ట్యాంక్ యొక్క మొత్తం సామర్థ్యం (పని) = సామర్థ్యం × సమయం

గణన:- 

 

  సమయం సమయం మొత్తం పని
ఇన్లెట్ పైపు
 120 9 1080
అవుట్లెట్ పైపు 54 20

 

 ప్రశ్న ప్రకారం, 

8 ఇన్లెట్ పైపులు మరియు 3 అవుట్లెట్ పైపులు ఒకేసారి తెరవబడతాయి. 

⇒ పని 1 గంట పూర్తయింది = 8 × 9 - 20 × 3 

⇒ 72 - 60 = 12

కాబట్టి,

సమయం = 1080/12 = 90  

∴ అవసరమైన సమాధానం 90.

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