Question

От одной пристани до другой по озеру катер проходит за 18 минут, а лодка за 36 минут. Через сколько минут они встретятся, если выйдут одновременно навстречу друг другу от этих пристаней?  ответ должен получиться 12 минут

Answer 1

Problem Analysis

We are given that a boat and a motorboat travel from one pier to another on a lake. The boat takes 36 minutes to complete the journey, while the motorboat takes 18 minutes. We need to determine how many minutes it will take for them to meet if they start simultaneously from their respective piers.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed is the sum of the speeds of the two objects. Let's assume the distance between the piers is 'd' and the speed of the boat is 'b' and the speed of the motorboat is 'm'.

We know that time = distance / speed. Therefore, the time taken by the boat to complete the journey is given by: Time taken by the boat = d / b

Similarly, the time taken by the motorboat to complete the journey is given by: Time taken by the motorboat = d / m

Since they start simultaneously and travel towards each other, the total time taken for them to meet is the sum of their individual times: Total time taken = (d / b) + (d / m)

We are given that the boat takes 36 minutes to complete the journey, so the time taken by the boat is 36 minutes: (d / b) = 36

Similarly, the motorboat takes 18 minutes to complete the journey, so the time taken by the motorboat is 18 minutes: (d / m) = 18

We can rewrite the equation for the total time taken as: Total time taken = 36 + 18

Simplifying, we get: Total time taken = 54 minutes

Therefore, it will take 54 minutes for the boat and the motorboat to meet if they start simultaneously from their respective piers.

Answer

It will take 54 minutes for the boat and the motorboat to meet if they start simultaneously from their respective piers.

Note: The answer provided is based on the information given in the problem statement.