4 Women and 6 Men are worked together for 10 days to construct a wall, how many days it takes when 8 Women and 12 Men to construct same wall?
jaswanth2004:
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Let one woman alone can finish the work in 'x' days
And
One man alone can finish the work in 'y' days
Part of the work done by the women in one day =1/x
Part of the work done by the man in one day =1/y
Given 4 women and 6 men can finish the work in 10 days
4/x+6/y=1/10-----(1)
Multiply (1)
With 2
8/x+12/y =2/10
8/x+12/y=1/5
Therefore
8 women and 12 men finish the work in 5 days
And
One man alone can finish the work in 'y' days
Part of the work done by the women in one day =1/x
Part of the work done by the man in one day =1/y
Given 4 women and 6 men can finish the work in 10 days
4/x+6/y=1/10-----(1)
Multiply (1)
With 2
8/x+12/y =2/10
8/x+12/y=1/5
Therefore
8 women and 12 men finish the work in 5 days
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