Question

От одной пристани до другой катер проходит за18мин. лодка за 36мин. через скоко они встретятся, если выйдут одновременно на встречу?

Answer 1

Пусть скорость лодки это икс, тогда скорость катера это два икс (т.к. он проходит путь в два раза быстрее).
х+2х=3х -общая их скорость
Пусть игрек- искомое время, тогда:
18*2х=у*3х (обе части выражения представляют собой весь путь)
Сокращаем на 3х, получаем:
у=6
Ответ: они встретятся через 6 минут.

Answer 2

1) 18:2=9 (мин.)-катер будет на половине пути
2) 36:2=18 (мин.)-лодка будет на пол пути
3) 18+9=27 (мин.)-они встрeтятся
Ответ: через 27 минут 

Answer 3

Meeting Point of Boat and Motorboat

To find the meeting point of the boat and the motorboat, we can use the concept of relative speed. The relative speed is the sum of the speeds of the two objects when they are moving towards each other.

Given: - Time taken for the boat to travel from one pier to another: 36 minutes - Time taken for the motorboat to travel from one pier to another: 18 minutes

Approach: 1. Find the speed of the boat and the motorboat. 2. Use the relative speed to calculate the meeting point.

Calculating Speeds

The speed of an object can be calculated using the formula: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

For the boat: - Time = 36 minutes - Distance = 1 (assuming the distance between the piers is 1 unit for simplicity)

The speed of the boat: \[ \text{Speed of boat} = \frac{1}{36} \]

For the motorboat: - Time = 18 minutes - Distance = 1 (assuming the distance between the piers is 1 unit for simplicity)

The speed of the motorboat: \[ \text{Speed of motorboat} = \frac{1}{18} \]

Calculating Meeting Point

The meeting point can be calculated using the formula: \[ \text{Meeting Point} = \frac{\text{Speed of boat} \times \text{Speed of motorboat}}{\text{Speed of boat} + \text{Speed of motorboat}} \]

Substitute the calculated speeds of the boat and the motorboat into the formula to find the meeting point.

\[ \text{Meeting Point} = \frac{\frac{1}{36} \times \frac{1}{18}}{\frac{1}{36} + \frac{1}{18}} \]

\[ \text{Meeting Point} = \frac{\frac{1}{648}}{\frac{3}{72}} \]

\[ \text{Meeting Point} = \frac{72}{648} \]

\[ \text{Meeting Point} = \frac{1}{9} \]

So, the boat and the motorboat will meet at a distance of 1/9 of the total distance from each pier.

This calculation assumes that the boat and the motorboat travel at constant speeds and in a straight line between the piers.