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4 men and 6 women can complete a work in...

4 men and 6 women can complete a work in 8 days, While 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it.

Text Solution

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women complete work=x days
Men complete work=y days
Work done by women in 1 day=1/x
Work done by men in 1 dqy=1/y
4 men and 6 women work in 1 day=`4/y+6/x=1/8-(1)`
7 women and 3 men work in 1 day=`7/x+3/y=1/10-(2)`
solving equation 1 and 2
x=400
...
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