Question

От двух пристаней, расстояние между которыми 357 километров одновременно отошли навстречу друг другу два быстроходных катера Скорость одного из них 61 километров час другого 58 километров в час через сколько часов катера встретится? какой путь пройдет каждый до встречи?

Answer 1

1)58+61=119(км/ч) скорость сближения
2)357÷119=3(ч) были в пути катера
3)3×61=183(км) прошёл 1 катер
4) 3×58=174(км) прошёл 2 катер

Answer 2

Problem Analysis

We have two fast boats that start simultaneously from two different ports and are moving towards each other. The distance between the ports is 357 kilometers. The speed of one boat is 61 kilometers per hour, and the speed of the other boat is 58 kilometers per hour. We need to find out how many hours it will take for the boats to meet and the distance each boat will travel before they meet.

Solution

To solve this problem, we can use the formula: time = distance / speed. We'll calculate the time it takes for each boat to reach the meeting point and then find the total time.

Let's calculate the time it takes for the first boat to reach the meeting point: - Distance traveled by the first boat = speed of the first boat * time - Distance traveled by the second boat = speed of the second boat * time - The sum of the distances traveled by both boats should be equal to the total distance between the ports.

Let's calculate the time it takes for the boats to meet and the distance each boat will travel:

1. Calculate the time it takes for the first boat to reach the meeting point: - Distance traveled by the first boat = speed of the first boat * time - Distance traveled by the second boat = speed of the second boat * time - The sum of the distances traveled by both boats should be equal to the total distance between the ports.

2. Set up the equation: - Distance traveled by the first boat + Distance traveled by the second boat = Total distance between the ports - (speed of the first boat * time) + (speed of the second boat * time) = Total distance between the ports

3. Solve the equation for time: - (61 km/h * time) + (58 km/h * time) = 357 km - (61 + 58) * time = 357 - 119 * time = 357 - time = 357 / 119

4. Calculate the time it takes for the boats to meet: - time = 3 hours

5. Calculate the distance each boat will travel before they meet: - Distance traveled by the first boat = speed of the first boat * time - Distance traveled by the second boat = speed of the second boat * time

Let's calculate the distance each boat will travel before they meet:

- Distance traveled by the first boat = 61 km/h * 3 hours - Distance traveled by the second boat = 58 km/h * 3 hours

Answer

The boats will meet after 3 hours. The distance each boat will travel before they meet is as follows: - The first boat will travel 183 kilometers. - The second boat will travel 174 kilometers.

Please note that the calculations are based on the given information and assumptions.