The Patient Pasture
A meadow starts with some quantity of grass and grows more at a constant rate every day. Every cow eats the same amount per day. Ten cows eat the meadow bare in exactly 24 days, and twenty cows do so in exactly 8 days (grass keeps growing while they eat). What is the largest number of cows the meadow can feed indefinitely without ever running out? Give an integer.
Related problems
Source: Newton-style grass-and-cows problem, after the classic in Newton's Arithmetica Universalis; numbers and question chosen for AxiomIQ. Statement written for AxiomIQ.