Question

от пристани отошел теплоход со скоростью 18 км ч через 2 часа вслед за ним отправился катер со скоростью 24 км ч через сколько часов катер догонит теплоход

Answer 1

18*2=36km
24-18=6km/h
36/6=6h
Ответ: через 6 часов

Answer 2

Problem Analysis

We are given that a boat departs from a dock with a speed of 18 km/h, and after 2 hours, a motorboat departs from the same dock with a speed of 24 km/h. We need to determine how many hours it will take for the motorboat to catch up to the boat.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed of the motorboat with respect to the boat is the difference in their speeds. In this case, the relative speed is 24 km/h - 18 km/h = 6 km/h.

Since the motorboat is trying to catch up to the boat, we can consider the distance between them as a target distance. Let's assume this target distance is D kilometers.

We know that the boat has been traveling for 2 hours before the motorboat starts. Therefore, the boat has already covered a distance of 18 km/h * 2 h = 36 km.

Now, let's consider the time it takes for the motorboat to catch up to the boat. During this time, the boat will continue to travel at a constant speed of 18 km/h, and the motorboat will travel at a speed of 24 km/h.

When the motorboat catches up to the boat, the total distance covered by both the boat and the motorboat will be equal to the target distance D. We can set up the following equation to represent this situation:

36 km + (24 km/h - 18 km/h) * t = D

Simplifying the equation, we get:

36 km + 6 km/h * t = D

Now, we can solve this equation to find the value of t, which represents the time it takes for the motorboat to catch up to the boat.

Calculation

Let's solve the equation to find the value of t:

36 km + 6 km/h * t = D

Since we don't have the value of D, we cannot determine the exact time it will take for the motorboat to catch up to the boat. We need additional information to solve the problem.

Please provide the value of D or any other relevant information to proceed with the calculation.

If you have any further questions, feel free to ask.