Question

Два катери вiдiйшли вiд пристанi одночасно в протележних напряиках .Швидкiсть руху першого катера становила 25 км/год,другого-34 км/год.Як змiнюэться вiдстань мiж катерами?На скiльки кiлометрiв збiльшуэться вiдстань мiж катерами щогодини? Розвяжiть задачу с пояснениями

Answer 1

Ответ:

Двигаются в противоположных направлениях - скорости складываются.

Пошаговое объяснение:

S = (V1+V2)*t  = (25+34)*t = 59*t  км

Answer 2

Problem Analysis

We have two boats that depart from a pier simultaneously in opposite directions. The first boat has a speed of 25 km/h, while the second boat has a speed of 34 km/h. We need to determine how the distance between the boats changes and by how many kilometers it increases every hour.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between two objects moving in opposite directions is the sum of their individual speeds. In this case, the relative speed between the two boats is the sum of their speeds, which is 25 km/h + 34 km/h = 59 km/h.

The distance between the boats will increase at a rate equal to their relative speed. Therefore, the distance between the boats will increase by 59 kilometers every hour.

Answer

The distance between the boats will increase by 59 kilometers every hour.

Example Calculation

Let's consider an example to illustrate the calculation. Suppose the initial distance between the boats is 100 kilometers. After one hour, the first boat will have traveled 25 kilometers, and the second boat will have traveled 34 kilometers. Therefore, the distance between the boats will be 100 + 25 + 34 = 159 kilometers.

After two hours, the first boat will have traveled 50 kilometers, and the second boat will have traveled 68 kilometers. Therefore, the distance between the boats will be 100 + 50 + 68 = 218 kilometers.

As we can see, the distance between the boats increases by 59 kilometers every hour.

Conclusion

In summary, when two boats depart from a pier simultaneously in opposite directions, with speeds of 25 km/h and 34 km/h, the distance between them will increase by 59 kilometers every hour.