A can do a piece of work in 20 days.
A can do a piece of work in 20 days. He worked for 8 days. Then B alone finishes the remaining work in 12 days. in how many days can B complete the whole work alone?
A किसी कार्य को 20 दिनों में पूरा कर सकता है। वह 8 दिनों तक काम करता है। इसके बाद शेष कार्य को B अकेले 12 दिनों में पूरा करता है। B अकेले पूरे कार्य को कितने दिनों में पूरा कर सकता है?
Detailed Solution & Logic
Correct Answer:
20
A 20 दिनों में पूरा काम करता है।
A की 1 दिन की कार्य क्षमता = 1/20
A ने 8 दिन काम किया, इसलिए किया गया काम:
$8 \times \frac{1}{20} = \frac{8}{20} = \frac{2}{5}$
शेष कार्य:
$1 - \frac{2}{5} = \frac{3}{5}$
यह $\frac{3}{5}$ काम B ने 12 दिनों में पूरा किया।
तो B की 1 दिन की कार्य क्षमता:
$\frac{3}{5} \div 12 = \frac{3}{5} \times \frac{1}{12} = \frac{1}{20}$
इसका अर्थ है कि B भी पूरे काम को 20 दिनों में पूरा कर सकता है।
सही उत्तर: 20 दिन
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