- QUESTION
3 men and 18 women together take 2 days to complete a piece of work. How many days will 9 women alone take to complete the piece of work, if 6 men alone can complete the piece of work in 3 days?
A)5
B)6
C)7
D)9
Explanation
(B)
=6 women complete a piece of work in 3 days.
Hence, one woman can complete 1/18 plece of work in one day
3 women and 18 children take 2 days to complete the work
3 women in 2 days complete3 * 2 * 1/18 = 1/3
Hence, in two days 18 children complete1 – 1/3 = 2/3of the work
So, amount of work done by 1 child in a day is2/3 * 1/36 = 1/54
So, 9 children complete 9 * 1/54 = 1/6part of the work in a day
Hence, the number of days in which 9 children alone complete the work is 6
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