Question

Некий юноша вышел из Москвы в Вологду. Он проходил в день 40 вёрст.Через день за ним вышел второй юноша которы проходил по 45 вёрст.Через сколько дней вторй догонит первого?

Answer 1

Пусть время второго=х, тогда время первого =х+1
уравнение: 40*(х+1)=45х
40х+40=45х
45х-40х=40
5х=40
х=40/5
х=8 дней

Answer 2

Problem Analysis

To solve this problem, we need to determine how many days it will take for the second person to catch up to the first person, given their respective daily distances traveled.

Solution

The first person covers 40 versts per day, while the second person covers 45 versts per day. This means the second person gains 5 versts on the first person each day.

To find out how many days it will take for the second person to catch up to the first person, we can use the following formula: Number of days = Distance to be covered / Relative speed

In this case, the distance to be covered is 40 versts (the distance the first person covers in a day), and the relative speed is 5 versts (the difference in their daily distances).

Calculation

Using the formula, we can calculate the number of days it will take for the second person to catch up to the first person: Number of days = 40 / 5 = 8 days

Conclusion

It will take the second person 8 days to catch up to the first person.