Question

Расстояние между городами машина преодолевает за 4 часа, если бы её скорость была на 10 км/ч больше, то она преодолела этот путь за 3 часа. Найти скорость машины и расстояние. Можно подробненько расписать? Заранее спасибо

Answer 1

Пусть первоначальная скорость х, тогда при увеличении она стала х+10.  
4*х - расстояние между городами 
3*(х+10) - расстояние между городами.
По условию задачи расстояние неизменно. 
4х=3*(х+10)
4х=3х+30
4х-3х=30
х=30 км/ч  это первоначальная скорость 
30*4= 120 км это расстояние между городами

Answer 2

Problem Analysis

We are given that a car can travel a certain distance in 4 hours, and if its speed were 10 km/h faster, it would cover the same distance in 3 hours. We need to find the speed of the car and the distance it travels.

Solution

Let's assume the speed of the car is x km/h and the distance it travels is d km.

According to the given information, we can set up the following equations:

Equation 1: d = x * 4 (since the car covers the distance in 4 hours)

Equation 2: d = (x + 10) * 3 (since the car would cover the same distance in 3 hours if its speed were 10 km/h faster)

To solve this system of equations, we can substitute Equation 1 into Equation 2:

x * 4 = (x + 10) * 3

Simplifying the equation:

4x = 3x + 30

x = 30

Therefore, the speed of the car is 30 km/h.

To find the distance, we can substitute the value of x into Equation 1:

d = 30 * 4

d = 120

Therefore, the distance traveled by the car is 120 km.

Answer

The speed of the car is 30 km/h and the distance it travels is 120 km.

Please let me know if you need any further clarification.

Answer 3

Problem Analysis

We are given that a car can travel a certain distance in 4 hours, and if its speed were 10 km/h faster, it would cover the same distance in 3 hours. We need to find the speed of the car and the distance it travels.

Solution

Let's assume the speed of the car is x km/h and the distance it travels is d km.

According to the given information, we can set up the following equations:

Equation 1: d = x * 4 (since the car covers the distance in 4 hours)

Equation 2: d = (x + 10) * 3 (since the car covers the same distance in 3 hours at a speed 10 km/h faster)

To solve this system of equations, we can equate the right sides of the equations:

x * 4 = (x + 10) * 3

Simplifying the equation:

4x = 3x + 30

x = 30

Therefore, the speed of the car is 30 km/h.

To find the distance, we can substitute the value of x into either Equation 1 or Equation 2:

Using Equation 1: d = 30 * 4 = 120 km

Therefore, the speed of the car is 30 km/h and it travels a distance of 120 km.

Answer

The speed of the car is 30 km/h and it travels a distance of 120 km.