Question
Download Solution PDFजर 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFA, 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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