Mathnet

Mathnet



Year:
1987
1,182 Views

Officer George Frankly:
[George and Kate are trying to figure out a way to contact the Masked Avenger, who wishes to remain anonymous] Kate, what if... what if you wanted to know my phone number? What would you do?

Sgt. Kate Monday:
I'd ask you. [George gives her a look that says "No good"] Oh. All right, I'd look it up in the phone book.

Officer George Frankly:
Exactly.

Sgt. Kate Monday:
George, you don't honestly believe that a man who has shrouded himself in mystery and anonymity for all these years would...

Officer George Frankly:
I know it's a long shot, but what the heck? Why not begin with common sense?

Sgt. Kate Monday:
You're going to just start calling numbers, George?

Officer George Frankly:
That'd be one way to find him, I guess.

Sgt. Kate Monday:
George, I happen to know that there are more than 7 million phone numbers listed in the New York phone book.

Officer George Frankly:
That's a lot.

Sgt. Kate Monday:
Do you know how many numbers are listed on each page in the phone book? About 600.

Officer George Frankly:
600?

Sgt. Kate Monday:
Yes. Say you could call what? Six numbers in a minute? And just ask if you'd reach the Avenger?

Officer George Frankly:
Sounds about right.

Sgt. Kate Monday:
Six hundred divided by six, one hundred. One hundred minutes. That's an hour and forty minutes per page, George. How many pages are in that phone book?

Officer George Frankly:
[George takes a look] Almost 1700.

Sgt. Kate Monday:
[Kate gets out her calculator and starts crunching numbers] 1700 pages, at an hour and two thirds per page, that's 1700 hours plus two thirds more. Two thirds of that is about 1133, plus the 1700, is 2833. George, it would take you 2833 hours to call every number in that phone book.

Officer George Frankly:
Uh huh.

Sgt. Kate Monday:
There are 24 hours in a day, that's 118 days. And that's just the phone book for one borough! I'll be at the largest, but there are four other boroughs in New York. So, although it would be a bit of an overestimate, it nevertheless comes to 590 days to call every number in the five boroughs, and that doesn't even take into account all the unlisted numbers, and eating! [Kate puts her calculator away, as George glances down at one of the pages in the phone book]

Officer George Frankly:
Ah, here it is. Avenger, The Masked.

Sgt. Kate Monday:
What? [George starts dialing as a baffled Kate stares at him]


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