Sorry to bring back an old thread to life.
I was trying to solve this and was fascinated by this solution.
Though I do not to understand one point.
Th First assumption that a cow would have eaten half the initial Grass in half the time it takes to finish the full pasture, does not seem to fit an equation with rates.
One obvious issue with that assumption is If the Cow can finish Half the pasture + growth from a full pasture in 45 days, It should be able to handle Half the pasture+ growth from this half pasture in less than 45 days.
Am I missing something here?