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 |
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.R | Title | User | Personal Name | Date | Lines |
---|---|---|---|---|---|
223.1 | NOD::HALLYB | Mon Feb 11 1985 09:46 | 1 | ||
... assuming they started at the same time ... | |||||
223.2 | R2ME2::GILBERT | Mon Feb 11 1985 17:09 | 4 | ||
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. |