Question
Download Solution PDFA, B आणि C एक काम अनुक्रमे 10, 15 आणि 30 दिवसांत पूर्ण करतात. दर तिसर्या दिवशी B आणि C दोघांनी मदत केल्यास A किती दिवसांत काम पूर्ण करू शकेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
A एक काम 10 दिवसांत पूर्ण करतो
B एक काम 15 दिवसांत पूर्ण करतो
C एक काम 30 दिवसांत पूर्ण करतो
संकल्पना:
एकूण कामाची गणना प्रत्येकाने घेतलेल्या वेळेच्या लसाविद्वारे केली जाते आणि एका दिवसात केलेले एकूण काम ही प्रत्येकाच्या एका दिवसात केलेल्या वैयक्तिक कामाची बेरीज असते.
उकल:
⇒ एकूण काम = 10, 15, 30 चा लसावि = 30 एकक
⇒ A ने एका दिवसात केलेले काम = 30/10 = 3 एकक
⇒ B ने एका दिवसात केलेले काम = 30/15 = 2 एकक
⇒ C ने एका दिवसात केलेले काम = 30/30 = 1 एकक
⇒ 3 दिवसांत केलेले एकूण काम = 3 + 3 + (3 + 2 + 1) = 12 एकक
⇒ 6 दिवसांत केलेले एकूण काम = 12 + 12 = 24 एकक
अशाप्रकारे, उर्वरित काम = 30 - 24 = 6 एकक
7 व्या आणि 8 व्या दिवशी, काम पूर्ण करण्यासाठी A ने केलेले एकूण काम = 3 + 3 = 6 एकक
8 दिवसांत पूर्ण झालेले काम = 24 + 6 = 30 एकक = एकूण काम
म्हणून, दर तिसर्या दिवशी B आणि C द्वारे मदत केल्यावर A ते काम 8 दिवसांत पूर्ण करू शकेल.
Last updated on Jun 30, 2025
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