M and N can do a piece of work in16 days and O can do it in 48 days. In how many days will M,N, and O do this work together?
M and N can do a piece of work in16 days and O can do it in 48 days. In how many days will M,N, and O do this work together?
M और N एक काम को 16 दिनों में पूरा कर सकते हैं और O इसे 48 दिनों में कर सकता है। M, N और O मिलकर इस काम को कितने दिनों में करेंगे?
Detailed Solution & Logic
Correct Answer:
12
Given:
- M and N together can complete the work in 16 days.
- O alone can complete the work in 48 days.
Work done by M and N in 1 day = $\frac{1}{16}$
Work done by O in 1 day = $\frac{1}{48}$
Total work done together in 1 day:
$\frac{1}{16} + \frac{1}{48}$
Taking LCM = 48,
$\frac{3}{48} + \frac{1}{48} = \frac{4}{48} = \frac{1}{12}$
So, together they complete $\frac{1}{12}$ of the work in 1 day.
Therefore, total time taken = 12 days.
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