Enigma 1302: Luncheon meet
12 August 2014
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From New Scientist #2460, 14th August 2004
As the crow flies, Joe lives 5 miles from each of his friends Ken and Les, who live 8 miles apart. Every Sunday lunchtime they meet at a convenient pub. It is convenient because the roads to it are straight and flat. They also chose this pub because its location meant they could all leave home at the same time and, after the shortest possible time, all arrive at the same time. Joe can only manage a steady 11 mph and Les a steady 14 mph on their bicycles. Ken, on his motor bike, is limited to 30 mph by the speed limit.
How long do they each take to reach the pub?
Note: I am waiting for a phone line to be connected at my new house, so I only have sporadic access to the internet at the moment.