Question

12. Коля и Вася – братья, и живут вместе. Из школы и в школу они идут одной и той же дорогой. Вася идёт из школы домой или из дома в школу 15 минут, а Коля – 10 минут. Коля и Вася одновременно вышли: один из дома, один из школы. Через сколько минут они встретятся?

Answer 1

РЕШЕНИЕ
Расстояние обозначим  - S.
1) V1 = S/t1 = 1/15*S - скорость первого
2) V2 = S/t2 = 1/10*S - скорость второго.
3) Vc = V1 + V2 = (1/10 + 1/15)*S = 1/6*S - скорость сближения.
4) Тс = S : (1/6*S) = 6 мин - время до встречи -  ОТВЕТ

Answer 2

Problem Analysis

Kolya and Vasya are brothers who live together and take the same route from school to home and vice versa. Vasya takes 15 minutes to go from school to home or from home to school, while Kolya takes 10 minutes. They both left at the same time, with one leaving from home and the other leaving from school. We need to determine how many minutes it will take for them to meet.

Solution

To find the time it takes for Kolya and Vasya to meet, we need to consider their travel times and the distance between their starting points. Since they are traveling towards each other, we can assume that their combined travel time will be equal to the time it takes for one of them to complete the entire distance.

Let's assume that the distance between their starting points is D. Since Vasya takes 15 minutes to cover the distance D and Kolya takes 10 minutes, we can set up the following equation:

15 minutes + 10 minutes = D

Simplifying the equation, we get:

25 minutes = D

Therefore, it will take them 25 minutes to meet.

Answer

Kolya and Vasya will meet after 25 minutes.

Explanation

Kolya and Vasya take different amounts of time to travel between their starting points, but since they are traveling towards each other, their combined travel time will be equal to the time it takes for one of them to complete the entire distance. In this case, it will take them 25 minutes to meet.