From the Treviso Arithmetic, the first printed arithmetic text, dated 1478: The

Question

From the Treviso Arithmetic, the first printed arithmetic text, dated 1478: The Holy
father sent a courier from Rome to Venice, commanding him that he should reach
Venice in 7 days. And the most illustrious Signoria of Venice also sent another courier
to Rome, who should reach Rome in 9 days. And from Rome to Venice is 250 miles.
It heppended that by order of these lords the couriers started their journeys at the
same time. It is required to find in how many days they will meet, and how many
miles each will have traveled.

Explanation / Answer

speed of courier by the holy father = 250/7 miles/day speed of courier by Signoria = 250/9 let the meet after time t: 250t/7+250t/9 = 250 t = 9*7/16 t = 3.9375days. that is 3 days,22 hours and 30minutes. miles by courier by holy father- 250*3.9375/7 = 140.625miles. miles by courier by sig = 109.375miles.

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