i don't know how to solve it but heres how to check. pretend x=1 and y=2. find the rate and use it in the second one you will probably see it is not equal to 2
x*x*x = x (number of men * working hours a day * number of days = number of articles)
y*y*y = something
y = (x) *y/x
x*(y/x)*x*(y/x)*x*(y/x) = x*(y/x)*(y/x)*(y/x)
y*y*y = y^3/x^2
This problem quite tricky.