A आणि B एकटे काम अनुक्रमे 4 आणि 9 दिवसात करू शकतात. जर ते दोघेही B पासून सुरू होणार्या पर्यायी दिवसात काम करत असतील तर काम किती दिवसात पूर्ण होईल?

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. \(5\frac{1}{3}\)
  2. \(5\frac{2}{3}\)
  3. 5
  4. \(5\frac{1}{4}\)

Answer (Detailed Solution Below)

Option 2 : \(5\frac{2}{3}\)
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Detailed Solution

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दिलेले आहे:

A एक काम एवढ्या दिवसात पूर्ण करू शकतो = 4 दिवस 

B एक काम एवढ्या दिवसात पूर्ण करू शकतो = 9 दिवस 

वापरलेले सूत्र:

एकूण काम = कार्यक्षमता × वेळ

गणना:

कार्यक्षमता व्यक्ती वेळ एकूण काम
9 A 4 36
4 B 9

आता,

(B + A) = 4 + 9 = 13 एकक = 2 दिवस 

⇒ (13 × 2) = 26 एकक =  (2 × 2) = 4 दिवस 

⇒ 30 एकक = 5 दिवस 

⇒ 36 एकक = 5 + (6/9) = 5\(2\over3\) दिवस 

∴ योग्य उत्तर5\(2\over3\) दिवस आहे.

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