If 4 men or 8 women can do a piece of work in | vedclass

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(A) Given that $4$ men can do the work in $15$ days,so $1$ man can do the work in $15 	imes 4 = 60$ days.Therefore,the work done by $1$ man in $1$ da

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(A) Given that $4$ men can do the work in $15$ days,so $1$ man can do the work in $15 	imes 4 = 60$ days.Therefore,the work done by $1$ man in $1$ day is $\frac{1}{60}$.Similarly,$8$ women can do the work in $15$ days,so $1$ woman can do the work in $15 	imes 8 = 120$ days.Therefore,the work done by $1$ woman in $1$ day is $\frac{1}{120}$.Now,we need to find the work done by $6$ men and $12$ women in $1$ day:Work done by $6$ men $= 6 	imes \frac{1}{60} = \frac{1}{10}$.Work done by $12$ women $= 12 	imes \frac{1}{120} = \frac{1}{10}$.Total work done by $6$ men and $12$ women in $1$ day $= \frac{1}{10} + \frac{1}{10} = \frac{2}{10} = \frac{1}{5}$.Thus,the total time taken to complete the work is $5$ days.

If $4$ men or $8$ women can do a piece of work in $15$ days,in how many days can $6$ men and $12$ women do the same piece of work?

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