Question

Моторная лодка отплыла от пристани в 9 ч и поплыла со скоростью 9,6 км/ч Через час за ней вдогонку вышел катер скоростью 14,4 км/ЧАС Во сколько часов катер догонит моторную лодку 

Answer 1

14,4-9,6=4,8 км/ч- скорость сближения
9,6*1=9,6-расстояние м/у лодкой и катером на  момент отплытия катера
9,6/4,8=2ч-через такое время катер догонит лодку

9+1+2=12ч-в такое время катер догонит лодку

Answer 2

Problem Analysis

We are given the following information: - The motorboat departs from the pier at 9:00 AM and travels at a speed of 9.6 km/h. - An hour later, the speedboat starts chasing the motorboat at a speed of 14.4 km/h. We need to determine at what time the speedboat will catch up to the motorboat.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed is the difference between the speeds of two objects moving in the same direction. In this case, the speedboat is chasing the motorboat, so their relative speed is the difference between their speeds.

Let's calculate the relative speed of the speedboat with respect to the motorboat: Relative speed = Speed of speedboat - Speed of motorboat Relative speed = 14.4 km/h - 9.6 km/h Relative speed = 4.8 km/h

Now, we can calculate the time it takes for the speedboat to catch up to the motorboat by dividing the distance between them by their relative speed.

Since the motorboat has a one-hour head start, the distance between the two boats is the product of the motorboat's speed and the time it takes for the speedboat to catch up.

Let's calculate the time it takes for the speedboat to catch up to the motorboat: Distance = Speed of motorboat * Time Distance = 9.6 km/h * Time

The time it takes for the speedboat to catch up to the motorboat is the same as the time it takes for the speedboat to cover the distance between them at their relative speed.

Let's calculate the time it takes for the speedboat to catch up to the motorboat: Time = Distance / Relative speed Time = (9.6 km/h * Time) / 4.8 km/h

Simplifying the equation: Time = 2 hours

Therefore, the speedboat will catch up to the motorboat 2 hours after it starts chasing, which is at 12:00 PM.

Answer: The speedboat will catch up to the motorboat at 12:00 PM.