3 men and 2 women can do a piece of work in 1 | vedclass

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(C) Let $M$ be the work done by $1$ man per day and $W$ be the work done by $1$ woman per day.From the given information:$(3M + 2W) 	imes 15 = (2M +

Vedclass · Accepted Answer

$40 \frac{10}{11}$

Vedclass · Answer

(C) Let $M$ be the work done by $1$ man per day and $W$ be the work done by $1$ woman per day.From the given information:$(3M + 2W) 	imes 15 = (2M + 3W) 	imes 18$Dividing by $3$:$(3M + 2W) 	imes 5 = (2M + 3W) 	imes 6$$15M + 10W = 12M + 18W$$3M = 8W \Rightarrow M = \frac{8}{3}W$Total work = $(3M + 2W) 	imes 15 = (3(\frac{8}{3}W) + 2W) 	imes 15 = (8W + 2W) 	imes 15 = 10W 	imes 15 = 150W$We need to find the time taken by $1$ man and $1$ woman $(M + W)$:$M + W = \frac{8}{3}W + W = \frac{11}{3}W$Time taken = $\frac{	ext{Total Work}}{	ext{Work per day}} = \frac{150W}{\frac{11}{3}W} = \frac{150 	imes 3}{11} = \frac{450}{11} = 40 \frac{10}{11}$ days.

$3$ men and $2$ women can do a piece of work in $15$ days. $2$ men and $3$ women can do the same work in $18$ days. The number of days to be taken by $1$ man and $1$ woman to do the work is:

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