A can complete a work in 12 days, and B in 16 days, They work together for 3 days. How much work is left?
A can complete a work in 12 days, and B in 16 days, They work together for 3 days. How much work is left?
A किसी कार्य को 12 दिनों में पूरा कर सकता है और B उसी कार्य को 16 दिनों में पूरा कर सकता है। दोनों साथ मिलकर 3 दिनों तक काम करते हैं। बताइए कि कितना कार्य शेष रह जाता है?
Detailed Solution & Logic
9/16
A की 1 दिन की कार्य क्षमता = 1/12
B की 1 दिन की कार्य क्षमता = 1/16
दोनों की 1 दिन की संयुक्त कार्य क्षमता:
$\frac{1}{12} + \frac{1}{16}$
LCM = 48
$\frac{1}{12} = \frac{4}{48}$
$\frac{1}{16} = \frac{3}{48}$
इसलिए,
$\frac{4}{48} + \frac{3}{48} = \frac{7}{48}$ (एक दिन में किया गया कार्य)
3 दिनों में किया गया कार्य:
$3 \times \frac{7}{48} = \frac{21}{48} = \frac{7}{16}$
कुल कार्य = 1
शेष कार्य:
$1 - \frac{7}{16} = \frac{9}{16}$
सही उत्तर: 9/16
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