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Neither Rain nor Sleet nor Snow

If two Post-Boys, A and B, at 59 miles distance from one another, set out in the morning in order to meet, and A rides 7 miles in 2 hours, and B 8 miles in three hours, and B begins his journey one hour later than A; find what number of miles A will ride before he meets B.

Universal Arithmetick, Isaac Newton, 1728

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"Neither Rain nor Sleet nor Snow," Convergence (July 2006)