Question
Download Solution PDFP, Q आणि R अनुक्रमे 20, 30 आणि 60 दिवसांत एखादे काम पूर्ण करू शकतात. दर तिसर्या दिवशी P ला Q आणि R ने मदत केल्यास काम पूर्ण होण्यास किती दिवस लागतील?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
P 20 दिवसात काम पूर्ण करू शकतो,
Q 30 दिवसांत,
R 60 दिवसांत,
R ला दर तिसऱ्या दिवशी Q आणि R द्वारे मदत केली जाते.
संकल्पना:
केलेले काम घेतलेल्या वेळेच्या परस्पर आहे. माणूस-दिवस संकल्पना वापरा.
उपाय:
एकूण काम = लसावि(20, 30, 60) = 60 एकक
P ची कार्यक्षमता = 60/20 = 3
Q ची कार्यक्षमता = 60/30 = 2
R ची कार्यक्षमता = 60/60 = 1
दोन दिवसात P ने केलेले काम = 2 दिवस × 3 = 6 एकक.
तिसऱ्या दिवशी, तिघेही एकत्र काम करतात, त्यांचे एकत्रित कार्य = 3 + 2 + 1 = 6 युनिट्स.
म्हणून, तीन दिवसांच्या प्रत्येक चक्रात, पूर्ण केलेले कार्य = 6 + 6 = 12 एकक.
60 एकक काम पूर्ण करण्यासाठी, आवश्यक दिवस आहेत = 3 × 5 = 15 दिवस.
म्हणून हे काम पूर्ण होण्यास 15 दिवसांचा कालावधी लागणार आहे.
Last updated on Jun 26, 2025
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