If x men working x hours per day for x days produce x units of work, then the units of work produced by y men working y hours a day for y days is:

\(\frac{x ^{2}}{y^{2}}\) \(\frac{x ^{3}}{y^{2}}\) \(\frac{y ^{2}}{x^{2}}\) \(\frac{y ^{3}}{x^{2}}\)

\(\frac{y ^{3}}{x^{2}}\)

Men × Hours × Days = Work ⇒ \(\frac{X\;×\;X\;×\;X}{Y\;×\;Y\;×\;Y}\) = \(\frac{X}{W}\) ⇒ W = \(\frac{Y^3}{X^2}\)