perplexus.info :: Just Math : On Track

On Track (Posted on 2016-02-29)

Alice and Betty start running in opposite directions along a circular track, each starting at opposite ends of a diameter of the circle. Each runs at a constant speed.

When Alice and Betty meet for the first time, Alice has run 170 meters.

They meet for the second time after Betty has run 90 meters past their first meeting point.

How many meters long is the track?

From Mensa Puzzle Calendar, 2016, by Mark Danna and Fraser Simpson, Workman Publishing, New York, puzzle for February 18.

See The Solution Submitted by Charlie

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Subject	Author	Date
Generalisation.	broll	2016-03-01 09:52:34
re: Misread the problem	Charlie	2016-03-01 07:27:05
Misread the problem	Steve Herman	2016-03-01 07:02:35
Solution	broll	2016-03-01 05:24:56
Some more?	armando	2016-03-01 02:09:44
re: Circular logic (spoiler)	Charlie	2016-02-29 21:49:52
Circular logic (spoiler)	Steve Herman	2016-02-29 18:38:23

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