[Search for users] [Overall Top Noters] [List of all Conferences] [Download this site]

Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

223.0. "Funny Marathon" by HARE::STAN () Sun Feb 10 1985 18:21

Show that it is possible for someone to run a marathon (26.2 miles)
at a completely steady pace of 8 minutes per mile, yet finish
behind someone who covered each mile segment in 8 minutes and 1 second.
(By "each mile segment" is meant every subinterval [x,x+1], 0<=x<=25.2.)

Reference:

Stan Wagon. Problem Corner. The Mathematical Intelligencer. 5(1983 no. 3)45.
	Problem 83-9.
T.RTitleUserPersonal
Name
DateLines
223.1NOD::HALLYBMon Feb 11 1985 12:461
... assuming they started at the same time ...
223.2R2ME2::GILBERTMon Feb 11 1985 20:094
The winner's speed is cyclic, as follows:

The winner covers 1 mile less a foot in one second, then takes eight minutes
to cover the last 12 inches.