4. This problem is from the Treviso Arithmetic, the first printed arithmetic tex

Question

4. This problem is 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 happened 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.

Explanation / Answer

solve this problem by relative speed.

spped of guy from rome= 250/7

speed of guy from venice=250/9

relative spped of guy from rome to guy from vince= 250/7+250/9

total distance=250

time to meet= 250/( 250/7+250/9)=63/16 days

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