Article View: rec.puzzles
Article #2565Re: Bus Stop Puzzle
From: Stein Kulseth
Date: Thu, 07 Jan 1993 14:18
Date: Thu, 07 Jan 1993 14:18
34 lines
1684 bytes
1684 bytes
In article <C0HD3p.1u4@dcs.ed.ac.uk>, tk@dcs.ed.ac.uk (Tommy Kelly) writes: |> 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? Bus stop 2 |> 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? The one that maximises Sum(d1...dn) - Tn -- stein.kulseth@nta.no (Norwegian Telecom Research) 'When murders are committed by mathematics, they can be solved by mathematics. Most of them aren't, and this one wasn't' - Nick Charles (Dashiell Hammett's "The Thin Man")
Technical Details
Message-ID:
<1993Jan7.141839.22657@nntp.nta.no>Path:
arc1-ca.pugleaf.net!sparky!uunet!spool.mu.edu!enterpoop.mit.edu!eru.mt.luth.se!lunic!sunic!aun.uninett.no!nuug!nntp.nta.no!hal.nta.no!steinReferences:
<C0HD3p.1u4@dcs.ed.ac.uk>Show Full Headers
Complete Article Headers
Path: arc1-ca.pugleaf.net!sparky!uunet!spool.mu.edu!enterpoop.mit.edu!eru.mt.luth.se!lunic!sunic!aun.uninett.no!nuug!nntp.nta.no!hal.nta.no!stein From: stein@hal.nta.no (Stein Kulseth) Newsgroups: rec.puzzles Subject: Re: Bus Stop Puzzle Message-ID: <1993Jan7.141839.22657@nntp.nta.no> Date: 7 Jan 93 14:18:39 GMT References: <C0HD3p.1u4@dcs.ed.ac.uk> Sender: news@nntp.nta.no Organization: Norwegian Telecom Research Lines: 34 Nntp-Posting-Host: elvis.nta.no