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Jun 09'24

Exercise

(from Benkoski[Notes 1]) Consider a “pure” cloverleaf interchange in which there are no ramps for right-hand turns, but only the two intersecting straight highways with cloverleaves for left-hand turns. (Thus, to turn right in such an interchange, one must make three left-hand turns.) As in the preceding problem, your car approaches the interchange from the south. What is the value of [math]r[/math] that maximizes your chances of an eastward departure from the interchange?

Notes

  1. S. Benkoski, Comment on Problem #1034, Mathematics Magazine, vol. 52, no. 3 (May 1979), pp. 183-184.