
Puzzler Answer, 4/11/98: The Loose Caboose
TOM: I've been waiting. What was the puzzler?
RAY: I don't remember. Let me refer to my notes.
Imagine, if you will, a long, long freight train, you know like
the kind you always see out West.
TOM: Yeah. 750 cars.
RAY: Seven hundred and fifty cars. You can spend your
entire vacation. That's why people get killed by those trains
because if you get stuck waiting for one, you can spend a half a
lifetime there.
TOM: And it's worth shortening your life --
RAY: It's worth it.
TOM: To take a train. Take a short at it.
RAY: Imagine that the... Imagine this. Here's the
scenario.
TOM: I mean what goes through people's minds? I had
to ruin my whole vacation waiting for this train. No, I think
I'll just get killed instead. Okay.
RAY: Anyway, imagine this. It pulls into the train
yard so that the train workers can go for a hair cut or something.
I don't know. The train stopped for no apparent reason as we all
know.
TOM: Yeah.
RAY: Anyway, they get back in and the engineer opens
the throttle and the train starts to pull away from the yard. As
it begins to pull away, somebody realizes that the caboose has a
problem. No coffee. No, the brake is frozen on one of the wheels
and the wheel is being dragged along and there are sparks and
smoke and all kinds of nasty stuff and someone's standing in the
yard, the train yard, manages to signal to the engineer and he
stops the train.
TOM: Yeah.
RAY: Well, they can't fix it so they decide to just
uncouple the caboose. So they remove it and they give the engineer
the go ahead. "Go ahead," they say. He gives it the throttle.
The train doesn't move. He gives it more throttle. It still
doesn't move. In fact, the wheels are spinning.
TOM: On the engine.
RAY: On the engine. Well, the other wheels aren't
spinning cause what?
TOM: They're just sitting there.
RAY: They ain't moving.
TOM: No.
RAY: Now, there's nothing wrong with any of the
remaining cars and there's nothing wrong with the engine, but
there is something wrong with the engineer. The question is
what's happening here?
TOM: Yeah. Actually, didn't we use this puzzler once
before?
RAY: No, I don't think so.
TOM: I think. I think. I think you did.
RAY: A long time ago maybe. How long?
TOM: Two weeks. Yeah. Well, give us the answer oh
great wise one. See, the only reason you knew the answer was
because you used this one before.
RAY: Well, I thought I had disguised it sufficiently.
TOM: Well, you did.
RAY: When a train is... When a locomotive is pulling
cars, each car is attached to the one in front of it and behind it
by a coupling, but the couplings aren't rigid. They're, in fact,
sloppy.
TOM: Um hmm.
RAY: So that when the train stopped and it started to
go. You didn't realize that something had happened before that.
When a long freight train pulls into a yard, before it
takes off, it will frequently back up to compress all the
couplings and then when it takes off, one car at a time begins to
move and it's quite a while, in fact, before the caboose begins to
move.
TOM: Phew.
RAY: But in this situation, the train was stopped. He
did that backing up thing. I failed to mention that in the
statement of the puzzler.
TOM: Another form of obfuscation and nicely done I
thought.
RAY: The train is halted because the brake is stuck
and because it's stuck, the caboose is in a sense pulling the
train from the other end. So, now all the couplings are all
stretched out. They remove the caboose, but the guy doesn't back
up.
TOM: Right.
RAY: They give him the go ahead. He says, "OK. I'll
go ahead."
TOM: So, now he's going to pull all 750 cars --
RAY: At once.
TOM: At one time.
RAY: He's going to try to move the last car while he's
trying to move the first car and the train is just too heavy and
he doesn't have enough friction between the wheels on the track --
TOM: So, a train --
RAY: To accomplish this.
TOM: So, a train can't really pull from a dead stop
all the cars that you see behind it sometimes.
RAY: If it's long enough, it can't do it.
TOM: It it's long enough, it can't.
RAY: It can't do it.
TOM: So, the little engine that couldn't. Couldn't.
RAY: Couldn't do it.
TOM: It's as simple as that.
RAY: And you have to apply the rules of incrementalism.
Is you have to pull one car at a time until finally you got one
car, two cars, three cars, dah-dah-dah, and you've moved them all
and once it's moving, of course, you can't stop it because
everyone knows trains can't stop for beans.
TOM: Yeah.
RAY: Anyway, who's going to win the new 10th
Anniversary Car Talk T-Shirt, this week, Tommy?
TOM: The winner this week is Oliver Gersch. Get
this. He's from Dortmund, Germany.
RAY: No kidding?
TOM: Wow! How do you say real ugly T-shirt in German,
do you know?
[ Car Talk Puzzler ]