Enigma 140: Muddy fields
28 October 2013
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From New Scientist #1284, 17th December 1981 [link]
I am at X, mounted on my velocipede, and thirsty: so I want to reach the river, which runs straight along BYC, as soon as I can. I have to keep within three fields on the plan. In each of them I can maintain a steady speed, at 30 mph within XBYZ (including the boundary), and at rates which I know (but you don’t yet) in AXZD and ZYCD (including their boundaries).
If I tell you that there are precisely three different quickest routes from X to the river, that should enable you to work out:
(a) my speed in AXZD,
(b) my speed in ZYCD.
Note: In New Scientist #1294 (with Enigma 149) an apology was published stating that this puzzle does not actually have a solution.