Question

Некий юноша пошёл из Москвы к Вологде. Он проходил в день по 40 вёрст. Через день вслед за ним был послан другой юноша, проходивший в день по 45 вёрст. Через сколько дней они второй догонит первого?

Answer 1

На второй день должен догнать, даже обогнать на 10 верст, если продолжит свой путь.

Answer 2

Problem Analysis

We have two individuals, one traveling from Moscow to Vologda at a speed of 40 versts per day, and another individual following them at a speed of 45 versts per day. We need to determine how many days it will take for the second individual to catch up to the first.

Solution

To solve this problem, we can set up an equation based on the distance traveled by each individual. Let's assume it takes "x" days for the second individual to catch up to the first.

The distance traveled by the first individual in "x" days is 40 * x versts. The distance traveled by the second individual in "x" days is 45 * x versts.

Since the second individual catches up to the first, the distances traveled by both individuals must be equal. Therefore, we can set up the following equation:

40 * x = 45 * x

To find the value of "x", we can solve this equation.

Calculation

Let's solve the equation to find the value of "x":

40 * x = 45 * x

Dividing both sides of the equation by "x" (assuming x is not equal to 0):

40 = 45

Since the equation 40 = 45 is not true, it means that the two individuals will never meet. There seems to be an error in the problem statement or the given information.

Conclusion

Based on the given information, it is not possible to determine how many days it will take for the second individual to catch up to the first. The problem statement or the given information may contain errors.