Question

В 19 час от пристани отошли в противоположных направлениях два быстроходных катера.Средняя скорость одного из них 48 км\час ,другого 52 км\час .В котором часу расстояние между катерами будет равно 300 км ?Какое расстояние пройдёт к этому времени каждый катер?

Answer 1

Problem Analysis

We have two fast boats departing from a pier in opposite directions. The average speed of one boat is 48 km/h, and the average speed of the other boat is 52 km/h. We need to determine the time at which the distance between the boats will be 300 km, as well as the distance each boat will have traveled by that time.

Solution

Let's assume that the boats depart from the pier at time t=0. We can use the formula `distance = speed * time` to calculate the distance each boat will have traveled at any given time.

Let's denote the time at which the distance between the boats is 300 km as t hours. At that time, the first boat will have traveled a distance of 48t km, and the second boat will have traveled a distance of 52t km.

To find the time t, we can set up the following equation: 48t + 52t = 300

Simplifying the equation: 100t = 300 t = 300 / 100 t = 3 hours

Therefore, the distance between the boats will be 300 km after 3 hours. The first boat will have traveled 48 * 3 = 144 km, and the second boat will have traveled 52 * 3 = 156 km.

Answer

The distance between the boats will be 300 km after 3 hours. The first boat will have traveled 144 km, and the second boat will have traveled 156 km.

Please let me know if you need any further assistance!