Question
A can do a work in $24$ days and B in $36$ days. They work together for $8$ days and then A leaves. In how many days will B alone finish the remaining work? / A किसी कार्य को $24$ दिन में और B $36$ दिन में कर सकता है। वे $8$ दिन एक साथ कार्य करते हैं और फिर A चला जाता है। B अकेला शेष कार्य कितने दिन में पूरा करेगा?
Option 3 : $16$ days / $16$ दिन
Detailed Solution
सही उत्तर $16$ days / $16$ दिन है।
Work done in 8 days $= 8 \times (\frac{1}{24} + \frac{1}{36}) = \frac{5}{9}$. Remaining $= \frac{4}{9}$. B's time $= \frac{4/9}{1/36} = 16$ days. / 8 दिन में किया गया कार्य $= 8 \times (\frac{1}{24} + \frac{1}{36}) = \frac{5}{9}$। शेष $= \frac{4}{9}$। B का समय $= \frac{4/9}{1/36} = 16$ दिन।
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Question:
A can do a work in $24$ days and B in $36$ days. They work together for $8$ days and then A leaves. In how many days will B alone finish the remaining work? / A किसी कार्य को $24$ दिन में और B $36$ दिन में कर सकता है। वे $8$ दिन एक साथ कार्य करते हैं और फिर A चला जाता है। B अकेला शेष कार्य कितने दिन में पूरा करेगा?
Correct Answer: $16$ days / $16$ दिन
Work done in 8 days $= 8 \times (\frac{1}{24} + \frac{1}{36}) = \frac{5}{9}$. Remaining $= \frac{4}{9}$. B's time $= \frac{4/9}{1/36} = 16$ days. / 8 दिन में किया गया कार्य $= 8 \times (\frac{1}{24} + \frac{1}{36}) = \frac{5}{9}$। शेष $= \frac{4}{9}$। B का समय $= \frac{4/9}{1/36} = 16$ दिन।