Question

От двух пристаней расстояния между которыми 120 км, одновременно отошли на встречу друг другу два теплохода. Один из них шёл со средней скоростью 22 км/ч., другой- 18 км/ч. Через сколько часов теплоходы встретились ? Какое расстояния прошёл до встречи каждый теплоход

Answer 1

Ответ:

Пошаговое объяснение:

22 + 18= 40 км/ч скорость сближения

120 ; 40= 3 часа через сколько  теплоходы встретились

22 * 3= 66 км расстояние, которое прошёл до встречи первый теплоход

18 * 3= 54 км расстояние, которое прошёл до встречи второй теплоход

Answer 2

Problem Analysis

We have two steamboats that start from two different ports and are moving towards each other. The distance between the ports is 120 km. The first steamboat is traveling at a speed of 22 km/h, while the second steamboat is traveling at a speed of 18 km/h. We need to determine how many hours it will take for the steamboats to meet and the distance each steamboat has traveled before the meeting.

Solution

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

Let's calculate the time it takes for the first steamboat to reach the meeting point: - Distance traveled by the first steamboat = speed * time - Distance traveled by the second steamboat = 120 km - distance traveled by the first steamboat

We can set up the following equation: - 22 km/h * time = distance traveled by the first steamboat

Solving for time, we get: - time = (distance traveled by the first steamboat) / 22 km/h

Let's calculate the time it takes for the second steamboat to reach the meeting point: - Distance traveled by the second steamboat = 120 km - distance traveled by the first steamboat

We can set up the following equation: - 18 km/h * time = distance traveled by the second steamboat

Solving for time, we get: - time = (distance traveled by the second steamboat) / 18 km/h

To find the total time, we can add the times calculated for each steamboat.

Let's calculate the distance traveled by each steamboat before the meeting: - Distance traveled by the first steamboat = speed * time - Distance traveled by the second steamboat = 120 km - distance traveled by the first steamboat

Calculation

Let's calculate the time it takes for each steamboat to reach the meeting point and the distance traveled by each steamboat before the meeting.

For the first steamboat: - Distance traveled by the first steamboat = 22 km/h * time - Distance traveled by the second steamboat = 120 km - distance traveled by the first steamboat

For the second steamboat: - Distance traveled by the second steamboat = 18 km/h * time - Distance traveled by the first steamboat = 120 km - distance traveled by the second steamboat

Solution

To find the time it takes for the steamboats to meet, we need to calculate the time it takes for each steamboat to reach the meeting point and then find the total time.

Let's calculate the time it takes for the first steamboat to reach the meeting point: - Distance traveled by the first steamboat = 22 km/h * time - Distance traveled by the second steamboat = 120 km - distance traveled by the first steamboat

We can set up the following equation: - 22 km/h * time = distance traveled by the first steamboat

Solving for time, we get: - time = (distance traveled by the first steamboat) / 22 km/h

Let's calculate the time it takes for the second steamboat to reach the meeting point: - Distance traveled by the second steamboat = 18 km/h * time - Distance traveled by the first steamboat = 120 km - distance traveled by the second steamboat

We can set up the following equation: - 18 km/h * time = distance traveled by the second steamboat

Solving for time, we get: - time = (distance traveled by the second steamboat) / 18 km/h

To find the total time, we can add the times calculated for each steamboat.

Let's calculate the distance traveled by each steamboat before the meeting: - Distance traveled by the first steamboat = 22 km/h * time - Distance traveled by the second steamboat = 18 km/h * time

Calculation

Let's calculate the time it takes for each steamboat to reach the meeting point and the distance traveled by each steamboat before the meeting.

For the first steamboat: - Distance traveled by the first steamboat = 22 km/h * time - Distance traveled by the second steamboat = 120 km - distance traveled by the first steamboat

For the second steamboat: - Distance traveled by the second steamboat = 18 km/h * time - Distance traveled by the first steamboat = 120 km - distance traveled by the second steamboat

Answer

To find the time it takes for the steamboats to meet, we need to calculate the time it takes for each steamboat to reach the meeting point and then find the total time.

Let's calculate the time it takes for the first steamboat to reach the meeting point: - Distance traveled by the first steamboat = 22 km/h * time - Distance traveled by the second steamboat = 120 km - distance traveled by the first steamboat

We can set up the following equation: - 22 km/h * time = distance traveled by the first steamboat

Solving for time, we get: - time = (distance traveled by the first steamboat) / 22 km/h

Let's calculate the time it takes for the second steamboat to reach the meeting point: - Distance traveled by the second steamboat = 18 km/h * time - Distance traveled by the first steamboat = 120 km - distance traveled by the second steamboat

We can set up the following equation: - 18 km/h * time = distance traveled by the second steamboat

Solving for time, we get: - time = (distance traveled by the second steamboat) / 18 km/h

To find the total time, we can add the times calculated for each steamboat.

Let's calculate the distance traveled by each steamboat before the meeting: - Distance traveled by the first steamboat = 22 km/h * time - Distance traveled by the second steamboat = 18 km/h * time

Using the given information, we can calculate the time it takes for the steamboats to meet and the distance each steamboat has traveled before the meeting.

The first steamboat is traveling at a speed of 22 km/h, and the second steamboat is traveling at a speed of 18 km/h. The distance between the two ports is 120 km.

Let's calculate the time it takes for each steamboat to reach the meeting point:

For the first steamboat: - Distance traveled by the first steamboat = 22 km/h * time

For the second steamboat: - Distance traveled by the second steamboat = 18 km/h * time

We can set up the following equation: - 22 km/h * time + 18 km/h * time = 120 km

Simplifying the equation: - 40 km/h * time = 120 km

Solving for time: - time = 120 km / 40 km/h - time = 3 hours

Therefore, it will take 3 hours for the steamboats to meet.

Let's calculate the distance traveled by each steamboat before the meeting:

For the first steamboat: - Distance traveled by the first steamboat = 22 km/h * 3 hours - Distance traveled by the first steamboat = 66 km

For the second steamboat: - Distance traveled by the second steamboat = 18 km/h * 3 hours - Distance traveled by the second steamboat = 54 km

Therefore, the first steamboat traveled 66 km before the meeting, and the second steamboat traveled 54 km before the meeting.

In summary: - The steamboats will meet after 3 hours. - The first steamboat will travel 66 km before the meeting. - The second steamboat will travel 54 km before the meeting.