Three men, four women and six children can complete a work in 7 days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?

Three men, four women and six children can complete a work in 7 days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
1). 8
2). 7
3). 12
4). Cannot be determined

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Guest · Answer 1 · 2019-04-09 19:29:39

Solution

Let the amount work done by a woman in a day be W.
So, the amount of work done by a man in a day is W/2.
And the amount of work done by a child in a day is W/4
So, the amount of work done by 3 men, 4 women and six children in a day is 3W/2 + 4W + 6W/4 = 7W.

Hence, 7 women can complete this work in 7 days. So, the correct answer is option (b)

Guest · Answer 2 · 2019-05-07 08:28:30

Solution

Let the amount work done by a woman in a day be W.
So, the amount of work done by a man in a day is W/2.
And the amount of work done by a child in a day is W/4
So, the amount of work done by 3 men, 4 women and six children in a day is 3W/2 + 4W + 6W/4 = 7W.

Hence, 7 women can complete this work in 7 days. So, the correct answer is option (b)

Three men, four women and six children can complete a work in 7 days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?

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