If 5 man & 9 women can do a piece of work in 19 days then in how many days will 3 men and 6 women do the same work?

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Solution

$5$ men $= 19$ days
$3$ men $= 5 / 3 X 19 = 31.674$ days
$9$ women $= 19$ days
$6$ women $= 9 / 6 X 19 = 28.5$ days
$3$ men $+$ $6$ women in $1$ day $= 1 / 31.67 + 1 / 28.5 =$
$= 0.0315756 + 0.0350877 = 0.0666633$
$= 667 / 10, 000$
So they will complete the work in $10, 000 / 667 = 14.99$ days
approximately $- 15$ days

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If 5 man & 9 women can do a piece of work in 19 days then in how many days will 3 men and 6 women do the same work?

5 men =19 days3 men =5/3X19=31.674days9 women =19 days6 women =9/6X19=28.5 days3 men + 6 women in 1 day =1/31.67+1/28.5==0.0315756+0.0350877=0.0666633=667/10,000So they will complete the work in 10,000/667=14.99 days approximately−15 days