Question

Решение задачи:расстояние между жвумя городами автомобиль преодолевает за 3 ч.Есщи бы его скорость была на 15 км/ч больше,то на этлт путь ему потребовалось бы 2,4.Определите скорость автомобиля и расстояние между городами

Answer 1

Скорость=60Км/ч растояние=180км

Answer 2

Problem Analysis

We are given that a car travels between two cities in 3 hours. If the car's speed were 15 km/h faster, it would have taken 2.4 hours to cover the same distance. We need to determine the speed of the car and the distance between the cities.

Solution

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

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

Equation 1: d = x * 3 (since the car covers the distance in 3 hours)

Equation 2: d = (x + 15) * 2.4 (since the car would have covered the same distance in 2.4 hours if its speed were 15 km/h faster)

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

x * 3 = (x + 15) * 2.4

Simplifying the equation:

3x = 2.4x + 36

3x - 2.4x = 36

0.6x = 36

x = 36 / 0.6

x = 60

So, the speed of the car is 60 km/h.

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

d = 60 * 3

d = 180

Therefore, the distance between the cities is 180 km.

Answer

The speed of the car is 60 km/h and the distance between the cities is 180 km.