Example. The boy is twice as fast at covering territory as the
old man. At stalemate, the boy's yard is littered with three apples
per square foot. What is the density of apples on the old man's
side? Solution. From the conditions of the problem,
and = 3 apples
or = 6 apples
The old man has six apples per square foot on his side at equilibrium.
The stalemate is an equilibrium between two opposing apple throwing
processes. At equilibrium the throwing of apples back and forth
obviously has not stopped, yet if we were keeping a tally only of
the number of apples on either side, we would see that no more net
changes were taking place. This is illustrated by the Phase V stalemate.
The concentration of apples on the two sides of the fence will not
change any further until one or the other combatant gets tired and
begins to slow down.