
Puzzler Answer, 6/6/98: Which Switch
Switches?
RAY: Hi, we're back. You're listening to Car Talk with us,
Click and Clack, the Tappet Brothers. And here's the answer
to last week's puzzler. Some of you may recall that --
TOM: I remember the puzzler.
RAY: My brother embarrassed us some weeks ago by stating that
Martin Gardner was dead. And his son Jim called us to tell us
that his father insists he isn't.
TOM: He called and said, "I'm not dead. Tell them I'm not
dead."
RAY: Anyway, he offered us, Martin himself, offered us a puzzler
for use in our show and actually Jim stated the puzzler last
week and here it is.
TOM: And did a pretty fine job of it, I thought.
RAY: He did.
TOM: Yeah.
RAY: Better than we do.
TOM: Yeah.
RAY: Maybe he's, maybe he wants to come out of retirement.
There are three on-off light switches on the wall of the first
floor of a building. One switch, one of the switches, one of
the three controls a bulb in a lamp on the third floor of the
building. The other two switches, like my brother and I, are
disconnected. They're not connected to anything.
TOM: They, they do nothing.
RAY: Yeah. You're allowed to toggle the switches as many
times as you want. Then you're allowed to walk just once, so
you can do it, you can turn switches on one, you can turn all
three of them on, you can turn all three of them off, you can
turn two on, three on, one on, you can do whatever you want for as
long as you want. Okay? Then you're allowed to walk just once
to the third floor to check the light bulb.
TOM: Right. And then you have to decide, which one of the
switches on the first floor is in fact the one that turns the
light bulb on or off. This is a great puzzler. Martin Gardiner
is good. Especially considering that he's dead.
RAY: Well here's the answer.
TOM: Yeah.
RAY: You turn the first switch on. You leave it on for ten
minutes. Why, you ask? You'll see in a minute. Then you turn it
off and you turn the second switch on and you go upstairs.
TOM: And you leave the third switch in the off position.
RAY: There you go.
TOM: Yeah.
RAY: If the bulb is on, then it's switch number two, which is
the one that's on.
TOM: Right.
RAY: OK? If the bulb is off and it's cold, then it's switch
number three, which is the one you never touched, that controls
that light. If the bulb is off but it's hot, then it was switch
number one.
TOM: Excellent.
RAY: Pretty cool, huh?
TOM: This is an excellent, this qualifies as an excellent
puzzler. Cause it seems so impossible. This is a Martin Gardiner
puzzler.
RAY: It's right up there.
TOM: It's right up there.
RAY: It's right up there with one of his. Who's our winner
this week?
TOM: Chip Merrow from Loudon, New Hampshire. Loudon, is
that how you pronounce it?
RAY: Loudon.
TOM: Loudon, New Hamster.
RAY: It's not hamster.
[ Car Talk Puzzler ]