
Puzzler Answer, 3/7/98: Billboard Equation
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, which we haven't even discussed up
until this point. Usually --
TOM: Not usually. You say I'm going to give you the answer
pretty soon --
RAY: Remember the puzzler?
TOM: Do you remember? This way? Bingo.
RAY: Do you remember?
TOM: Why diddle around? Why beat around the bush? You got the
answer to the puzzler, just tell us what the heck it is and stop
with all the nonsense.
RAY: OK. Well, anyway, this was sent to us --
TOM: I've been reading Susan Powter's book.
RAY: Stop already. Is that what it's called?
TOM: Stop the Insanity.
RAY: Stop the Insan... Already.
TOM: Already.
RAY: This was sent to us via cyberspace, from Roy Richaude ?? and
he writes and I quote --
TOM: This one. Oh, I remember this one.
RAY: While driving around Luxembourg on a recent trip to Europe,
how could... How much could you drive around Luxembourg?
TOM: An hour. Maybe less.
RAY: I caught a glimpse of a billboard that immediately brought
Car Talk to mind. The billboard was brightly colored with a
cartoon of a pig on the bottom. Red herring.
TOM: Red herring. Yep.
RAY: But it wasn't just the pig that brought Car Talk to mind,
across the center of the billboard was written an equation --
TOM: Yeah.
RAY: The equation was d, big D, equals the quantity V over 10 in
parentheses squared. All of that business. Not all of that
business. Just the stuff on the right side of the equation,
divided by two. Got it?
TOM: Yeah.
RAY: D equals V over 10 in parentheses squared divided by two.
Ha!
TOM: I got it.
RAY: And he says, "Remembering a discussion on Car Talk of a
couple of months ago, I immediately knew what this was all about."
The question very simply is what was it all about?
TOM: First of all, I am struck by the fact that any country would
think that there were enough people driving around who would even
know that it was an equation about anything.
RAY: Well, you know I was reading an article in the paper
recently about how poorly American kids scored in science and math
tests.
TOM: Yeah.
RAY: They were like 97th out of 91. Of all the nations tested
and all the European nations typically do much better. I looked
for France and they were unfortunately right up there, but
Europeans in general, I guess, were a lot more literate in
mathematics than we Americans are.
TOM: I guess so.
RAY: And what this equation means is that the distance that you
should trail another car on the highway is determined by taking
your velocity in kilometers per hour.
TOM: Yeah.
RAY: Let's say it's a 100.
TOM: Say it's a 100 kilometers per hour.
RAY: Which is 60 miles an hour in our lingo.
TOM: Yeah.
RAY: Divided by 10.
TOM: OK. So, that gives me 10.
RAY: Square that.
TOM: Square that. There's two. There's a 100.
RAY: Divide that by two.
TOM: There's 50.
RAY: Yeah. So, of course, the units are all wrong, but that's
all right.
TOM: That's all right, but it means if I were driving at a 100
kilometers per hour, which is 60 miles per hour, I should be 50
meters or 150 feet --
RAY: Roughly.
TOM: Roughly behind the car in front of me.
RAY: There you go. Cute, huh?
TOM: Wow!
RAY: All right. What's the equation? Do you remember it?
TOM: D equals V over 10 squared, all over two.
RAY: Of course, while most people were trying to do the math,
they'd crash another car. And who's our winner anyway? We have a
fabulous prize and who got it, Tommy?
TOM: The winner is from Luxembourg, someone named Diane Swan,
from Eeston. E-E-S-T-O-N. Not eastern, but East-ton, Maryland.
[ Car Talk Puzzler ]