Two men can do a piece of work in x days. But y women can do that in 3 days. Then the ratio of the work done by 1 man and 1 woman is ?

Answer: Option A

2 men can do a work in x days
1 men can do a work in (2 × x) days
y women can do a work in 3 days
1 women can do a work in 3y days

	1 man	:	1 woman
Days	2x	:	3y
Efficiency	3y	:	2x

$$\begin{array}{rl}& \mathbf{Alternate}:\\ & \text{2M}\times x=y\text{W}\times \text{3}\\ & \frac{\text{M}}{\text{W}}=\frac{3y}{2x}\\ & \text{M}:\text{W}=3y:2x\end{array}$$