Logic Problem Solution:
The Model Train
From the introduction, the model train does not stop at any of
the operating depots in the same place in the order as the
corresponding train car is in the train order. By clue 2,
the train stops at the lumbermill immediately before stopping
to load/unload the 3rd car. The lumbermill isn't the first
stop (5). Since the 3rd car doesn't load/unload at the third
stop (intro), the lumbermill isn't the second operating
accessory at which the train stops. The lumbermill is either
the third or fourth stop on the route. If the lumbermill were
the third stop on the route, the 3rd car would load/unload at
the fourth operating depot in the layout. By clue 1, the train
stops to load/unload coal immediately before the stop to
load/unload the 1st car. The first car in the train doesn't
load/unload fifth (7). Therefore, the Lehigh Valley coal car
in clue 3 couldn't be the 3rd car in the train, since it would
load/unload fourth and the 1st car fifth (1). The coal car
can't be the 1st car in the train, since the 2nd car (3) can't
be second to load/unload (intro). The coal car wouldn't be
2nd in line, since the 3rd car would load/unload at the fourth
stop rather than at the second. So, if the lumbermill were the
third stop, the coal car would be the 4th car in order and the
5th car in the train would be the second to be loaded/unloaded.
By clue 1, the coal car loads/unloads immediately ahead of the
1st car. The coal car would then have to be first to stop at
its working accessory--but the 1st car and 5th car would
conflict as the second to be loaded/unloaded. Therefore, the
lumbermill isn't the third stop on the train route. The
lumbermill is the fourth depot and the 3rd car in line is fifth
to load/unload. By clue 3, the coal car is right in front of
the car being loaded/unloaded at the second stop. The coal car
then isn't 1st in line, since the 2nd car can't stop at the
second accessory (intro). The coal car can't be 2nd, since the
3rd car stops fifth for loading/unloading. The coal car can't
be 3rd on the train, since it then would load/unload fifth,
contradicting clue 1. The Lehigh Valley coal car thus is 4th
in line, and the car 5th in line is loaded/unloaded second (3).
By clue 1, the coal station is the stop on the circuit
immediately before where the 1st car in order loads/unloads.
The coal station thus can't be first, since we know the 5th car
works with the second stop. The coal station can't be 2nd,
because the coal car then would be 5th in line. The coal
station isn't the fifth and last accessory (1). The train
stops at the coal station third; the Great Northern log car
is then 1st in line (1). By clue 4, the car that loads/unloads
at the first depot is immediately ahead of the Cities Service
barrel car in the train. The car that loads/unloads first
can't be the log car, since it is 1st in line (intro). It
must be the 2nd car, and the barrel car is 3rd and loads/unloads
fifth at the oil derrick. By clue 6, the Illinois Central
trailer carrier isn't 2nd in order on the train. It is 5th
and loads/unloads at the second operating accessory, the
container crane. By elimination, the 2nd car on the train,
the Armour cattle car is loaded/unloaded at the first stop,
the stockyard, on each trip around the track. In sum, the
order 1st-5th of the cars in the train and first-fifth of the
operating depots is
- 1st - Great Northern log car
- 2nd - Armour cattle car
- 3rd - Cities Service barrel car
- 4th - Lehigh Valley coal car
- 5th - Illinois Central trailer carrier
- First - stockyard
- Second - container crane
- Third - coal station
- Fourth - lumbermill
- Fifth - oil derrick
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