Question

Туристы плыли на лодке 1ч, а на катере -1,5ч. Всего они проплыли 42 км. Скорость катера в 4 раза больше, чем скорость лодки. Найдите скорость лодки. Саставить системное уравнение и решить способом подстановки.

Answer 1

x - скорость лодки, 4х - скорость катера. 

х+1,5*4х=42

7х=42

х=6 - скорость лодки

 

 

 

 

 

 

 

 

 

 

 

Answer 2

Problem Analysis

We are given that tourists traveled on a boat for 1 hour and on a motorboat for 1.5 hours. The total distance traveled is 42 km. The speed of the motorboat is 4 times greater than the speed of the boat. We need to find the speed of the boat.

Solution

Let's assume the speed of the boat is x km/h. Since the speed of the motorboat is 4 times greater, the speed of the motorboat is 4x km/h.

We can use the formula distance = speed × time to create two equations based on the given information.

For the boat: x km/h × 1 hour = distance

For the motorboat: 4x km/h × 1.5 hours = distance

We know that the total distance traveled is 42 km. We can set up the equation:

x km/h × 1 hour + 4x km/h × 1.5 hours = 42 km

Simplifying the equation:

x + 6x = 42

7x = 42

x = 6

Therefore, the speed of the boat is 6 km/h.

To verify the solution, we can substitute the value of x back into the equation:

6 km/h × 1 hour + 4 × 6 km/h × 1.5 hours = 42 km

6 km + 36 km = 42 km

42 km = 42 km

The equation is satisfied, confirming that the speed of the boat is indeed 6 km/h.

Answer

The speed of the boat is 6 km/h.