Question
Download Solution PDFA हा B पेक्षा 5.4 पट वेगाने काम करतो आणि प्रत्येकजण एकटा काम करत असताना A ला B पेक्षा 22 दिवस कमी वेळ लागतो. A आणि B एकत्र काम करत असल्यास तेच काम पूर्ण करण्यासाठी किती दिवस लागतील याची गणना करा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
A हा B पेक्षा 5.4 पट वेगाने काम करतो आणि प्रत्येकजण एकटा काम करत असताना A ला B पेक्षा 22 दिवस कमी वेळ लागतो.
वापरलेली संकल्पना:
कार्यक्षमता = (एकूण काम / एकूण वेळ)
कार्यक्षमता = एकाच दिवसात केलेले काम
गणना:
A : B = 1 : 5.4 चे वेळेचे गुणोत्तर
A : B = 5 : 27 चे वेळेचे गुणोत्तर
तर A ला 5x दिवस लागतात B ला 27x दिवस लागतात
प्रश्नानुसार,
27x - 5x = 22
⇒ x = 1
तर A ला 5 दिवस आणि B ला 27 दिवस लागतात
म्हणून ते एकत्रपणे घेतात,
⇒ (27 × 5) / 32 = \(4\frac{7}{32}\) दिवस
∴ 3 हा योग्य पर्याय आहे
Last updated on Jun 13, 2025
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