FR. Who Wants To Be A Mathematician?
Kyle and Chaim finally get back into the studio!
We first pose a quick question: If you drive fifty miles in fifty minutes, must there be some ten minute interval in which you drive exactly ten miles?
Of course there must — mustn’t there? Well prove it!
Our main feature this week is an interview with Michael Breen, from the American Mathematical Society, who came and hosted a game show “Who Wants To Be A Mathematician!” About a hundred high school students from all over northwest Arkansas came to cheer on their classmates; Kyle Strong of Har-Ber High in Springdale came in first, winning $1250, and Karan Batra, of Bentonville placed second with $250.
Our interview includes a few sample problems… I guess we shouldn’t list too many of them, in case Micheal wants to recycle them! Mike’s also responsible for the great series of Mathematical Moments posters— check them out!

PS: We opened with the Up To One Million Dollars In Prize Money May Be Given Away gag… Always fun!

mathbun.com
pgc said,
May 1, 2009 at 7:55 am
Show Spoiler ▼
strauss said,
May 1, 2009 at 9:32 am
Stephen S writes:
Firstly, Hi, found your show and have listened to all the back podcasts now to catch up. Yes I have quite a long drive some days. I’m in Bath in the UK by the way.
Secondly, the quick car trip question is false, since I can do the whole trip at 60 miles an hour 50 miles, fiftt mins) and never do 50 at all. In fact I could do 49 miles in 1 min and take the last 1 at a very lesuirely pace to do the time and distance.
Actually, in the real world, I’d allow 35 mins to do 50 miles as this is Europe – assuming a clear road and sleeping cops. (Which around here is often…)
We note:
Glad we’ve made your drives go by quicker!
Let’s see, even if you drove 49 miles in one minute (at a steady rate of 49 miles per minute) and then covered the rest in 49 minutes at (at a steady rate of 1/49 miles per minute) there’d still be the ten minute interval from 0:48 through 10:48 in which you’d drive exactly 10 miles!
(That is, you’d drive 1/5 of a minute at 49 mpm, and 49/5 minutes at 1/49 mpm, for a grand total of 10 miles)
So this would still work out!
Thanks for writing, and thanks for listening!
Chaim