Question

В гору подниматься 3 часа,с горы 2 часа,всего прошли 24 км.Скорость в гору на 2 км в час меньше чем с горы,найдите скорость при помощи системы уравнения.

Answer 1

Всё подробно написала в решении.

Answer 2

Problem Analysis

We are given the following information: - Time taken to go uphill: 3 hours - Time taken to go downhill: 2 hours - Total distance traveled: 24 km - Speed uphill is 2 km/h less than downhill speed

We need to find the speed using a system of equations.

Solution

Let's assume the speed uphill is x km/h. Then the speed downhill would be x + 2 km/h.

We can use the formula speed = distance / time to create two equations:

1. For uphill: - Speed uphill: x km/h - Time uphill: 3 hours - Distance uphill: x * 3 km

2. For downhill: - Speed downhill: x + 2 km/h - Time downhill: 2 hours - Distance downhill: (x + 2) * 2 km

Since the total distance traveled is 24 km, we can set up the equation:

Distance uphill + Distance downhill = Total distance

x * 3 + (x + 2) * 2 = 24

Now, let's solve this equation to find the value of x.

Solving the Equation

Expanding the equation:

3x + 2(x + 2) = 24

Simplifying:

3x + 2x + 4 = 24

Combining like terms:

5x + 4 = 24

Subtracting 4 from both sides:

5x = 20

Dividing both sides by 5:

x = 4

So, the speed uphill is 4 km/h.

Answer

The speed uphill is 4 km/h.