Mathematical Puzzles and Problems by Daniel Benson & FJ Bermann

Author:Daniel Benson & FJ Bermann [Benson, Daniel]
Language: eng
Format: epub
Publisher: Black Cone Publishing
Published: 2013-08-21T00:00:00+00:00

Spacing the holes evenly along the pole is done by dividing 110 cm with 11, not 10 holes, as this will leave ½ a hole at each end of the pole. Think of it as spacing out 10 holes by adding in white padding in between the holes. There are 11 padded areas.

We find that there are 10 cm between the holes, which is the length of the think rope when it is threaded between two holes along the same pole. The threading between two holes along the same pole is done 9 times.

Threading the thin rope through the holes, from one end to the other, we find that the rope has to reach between the two poles 10 times.

We therefore can write an equation: 9 * 10 cm + 10 * X = length of rope = 1000 cm (Eq. 1)

Solving for X, we find that the maximum distance between the two poles is 91 cm.

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