Question

Решить задачу с помощью уравнения Моторная лодка отплыла от пристани в 9ч со скоростью 9,6 км/ч Через час ей вдогонку вышел катер со скоростью 14,4 км/ч Во сколько катер догонит моторную лодку

Answer 1

пусть, время за которое катер догонит лодку равно х, тогда

х=(9,6*1):(14,6-9,6)

х=9,6:4,8

х=2часа потребуется катеру 

катер догонит моторную лодку в 9+1+2=12часов  

Answer 2

х ч время которое провел в пути катер

х + 1 ч время которое провела в пути лодка

Составим уравнение:

14,4х = 9,6(х + 1)

14,4х - 9,6х = 9,6

4,8х = 9,6

х = 2

2 ч провел в пути катер

9 + 1 + 2 = 12 ч

Ответ. В 12 ч катер догонит лодку.

Answer 3

Problem Analysis

We are given that a motorboat departs from a dock at 9:00 AM with a speed of 9.6 km/h. One hour later, a speedboat sets off in pursuit of the motorboat with a speed of 14.4 km/h. We need to determine at what time the speedboat will catch up to the motorboat.

Solution

Let's assume that the time it takes for the speedboat to catch up to the motorboat is 't' hours. During this time, the motorboat will have been traveling for 't + 1' hours.

To solve this problem, we can set up an equation based on the distance traveled by both the motorboat and the speedboat. The distance traveled by an object can be calculated by multiplying its speed by the time it has been traveling.

The distance traveled by the motorboat is given by: Distance_motorboat = Speed_motorboat * Time_motorboat

The distance traveled by the speedboat is given by: Distance_speedboat = Speed_speedboat * Time_speedboat

Since the speedboat catches up to the motorboat, the distances traveled by both boats must be equal: Distance_motorboat = Distance_speedboat

Substituting the equations for distance and time, we get: Speed_motorboat * (t + 1) = Speed_speedboat * t

Now we can solve this equation to find the value of 't', which represents the time it takes for the speedboat to catch up to the motorboat.

Let's solve the equation:

Speed_motorboat * (t + 1) = Speed_speedboat * t

Substituting the given values: 9.6 * (t + 1) = 14.4 * t

Simplifying the equation: 9.6t + 9.6 = 14.4t

Rearranging the equation: 9.6 = 14.4t - 9.6t

Combining like terms: 9.6 = 4.8t

Dividing both sides by 4.8: t = 2

Therefore, it will take 2 hours for the speedboat to catch up to the motorboat.

Answer

The speedboat will catch up to the motorboat in 2 hours.