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Article #2552Bus Stop Puzzle
From: Tommy Kelly
Date: Thu, 07 Jan 1993 10:57
Date: Thu, 07 Jan 1993 10:57
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1190 bytes
Every morning, I take a train to the city, then have to take a bus to Uni. There are two bus stops within easy walking distance of the train station. Bus stop 1 is 4mins 20 seconds away, and is the earlier on the route (the bus visits it before bus stop 2). Bus stop 2 is 3mins 20 seconds away. The bus takes about 30 seconds to travel from stop 1 to stop 2. Bus interarrival time is 15 minutes, and can effectively be at any point in their run when I begin my walk from the train station. a. On average, which bus stop should I walk to minimize my time in travelling to the University? b. In general, for times : Tn - time to walk to stop n dn - time for bus to travel from stop n to stop n+1 l - bus interarrival time which stop should I choose? tk
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!uknet!edcastle!dcs.ed.ac.uk!tk From: tk@dcs.ed.ac.uk (Tommy Kelly) Newsgroups: rec.puzzles Subject: Bus Stop Puzzle Message-ID: <C0HD3p.1u4@dcs.ed.ac.uk> Date: 7 Jan 93 10:57:24 GMT Sender: cnews@dcs.ed.ac.uk (UseNet News Admin) Reply-To: tk@dcs.ed.ac.uk (Tommy Kelly) Organization: Laboratory for the Foundations of Computer Science, Edinburgh U Lines: 26