Question

От одной пристани до другой по озеру катер проходит за 18 минут.Лодка за 36 через сколько минут они встретятся если выйдут одновременно навстречу друг другу из этих пристаней?

Answer 1

1/18 всего пути проходит катер за 1 мин.
1/36 всего пути проходит лодка за 1 мин.
1/18+1/36 = 2/36+1/36 = 3/36 = 1/12 всего пути проходят вместе за 1 мин
1:1/12 = 1*12 = 12 мин - время до встречи.

Answer 2

Problem Analysis

We are given that a boat travels from one dock to another across a lake in 18 minutes, and a motorboat travels the same distance in 36 minutes. We need to determine how long it will take for them to meet if they start at the same time and travel towards each other.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the boat and the motorboat is the sum of their individual speeds.

Let's assume the speed of the boat is b and the speed of the motorboat is m. Since the boat takes 18 minutes to cover the distance, we can calculate its speed as distance / time. Similarly, the speed of the motorboat can be calculated as distance / time.

Let's calculate the speeds of the boat and motorboat:

- Speed of the boat, b = distance / 18 minutes - Speed of the motorboat, m = distance / 36 minutes

Since the boat and motorboat are traveling towards each other, their relative speed is the sum of their individual speeds:

- Relative speed = b + m

Now, we can calculate the time it takes for them to meet by dividing the distance between the docks by their relative speed:

- Time to meet = distance / (b + m)

To find the time it takes for them to meet, we need to know the distance between the docks. Unfortunately, the problem statement does not provide this information. Without the distance, we cannot calculate the time it takes for them to meet.

Please provide the distance between the docks, and I will be able to calculate the time it takes for them to meet.