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Question
If 4 men and 6 women can do a piece of work in 24 days, then how many men should join 3 women to complete the work in 16 days?
If 4 men and 6 women can do a piece of work in 24 days, then how many men should join 3 women to complete the work in 16 days?
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Solution
The correct option is A 4
The work requires 4×24 = 96 man-days or 6×24 =144 woman-days.
In other words 1 man is equivalent of 1.5 women.If 3 women are available for 16 days they would do 3×16=48woman-days of work. The balance of 144–48=96 woman-days has to be done by the men.96 woman-days =64 man-days. Now these 64 man-days of work is to be completed in 16 days or 4 men are adequate.So 3 women and 4 men can completed the work in 16 days.
The work requires 4×24 = 96 man-days or 6×24 =144 woman-days.
In other words 1 man is equivalent of 1.5 women.
If 3 women are available for 16 days they would do 3×16=48woman-days of work. The balance of 144–48=96 woman-days has to be done by the men.
96 woman-days =64 man-days.
Now these 64 man-days of work is to be completed in 16 days or 4 men are adequate.
So 3 women and 4 men can completed the work in 16 days.
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