जर A, B आणि C एक काम अनुक्रमे 6 दिवस, 9 दिवस आणि 11 दिवसांत करत असतील, तर, एकत्र काम केल्यास, त्यांना काम करण्यासाठी किती दिवस लागतील?

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SSC CGL 2023 Tier-I Official Paper (Held On: 27 Jul 2023 Shift 1)
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  1. \(1 \frac{52}{73}\)
  2. \(4 \frac{52}{73}\)
  3. \(2 \frac{52}{73}\)
  4. \(3 \frac{52}{73}\)

Answer (Detailed Solution Below)

Option 3 : \(2 \frac{52}{73}\)
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तपशीलवार निरसन:-

A, B, आणि C यांच्या कामाचे दर खालीलप्रमाणे दर्शवू,

A च्या कामाचा दर = 1/6

B चा कामाचा दर = 1/9

C चा कामाचा दर = 1/11

एकूण काम = A चे काम + B चे काम + C चे काम

एकूण काम = (1/6) + (1/9) + (1/11)

⇒ (33/198) + (22/198) + (18/198) = 73 / 198

एकत्र काम पूर्ण करण्यासाठी लागणारा वेळ = 1/एकूण कामाचा दर

लागणारा वेळ = 1/ (73/198)

लागणारा वेळ = 198/73 = \(2 \frac{52}{73} \)

∴ A, B, आणि C यांना एकत्र काम पूर्ण करण्यासाठी \(2 \frac{52}{73}\) दिवस लागतील.
 
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