This is a single
railway line with a
loop.
There is only room for eight wagons, or seven wagons and an engine,
between B and C on either the left line or the right line of the
loop.
It happened that two goods trains (each consisting of an engine and
sixteen wagons) got into the position shown in the
illustration.
It looked like a hopeless deadlock, and each engine-driver wanted the
other to go back to the next station and take off nine wagons.
But an ingenious stoker undertook to pass the trains and send them on
their respective journeys with their engines properly in front. He also
contrived to reverse the engines the fewest times possible.
Could you have performed the feat?
And how many times would you require to reverse the engines?
A "reversal" means a change of direction, backward or forward.
No rope-shunting, fly-shunting, or other trick is allowed.
All the work must be done legitimately by the two engines.
See
answer