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Article #2552

Bus Stop Puzzle

#2552
From: Tommy Kelly
Date: Thu, 07 Jan 1993 10:57
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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
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