Question

Расстояние между двумя городами автомобиль преодолевает за 3 ч. Если бы его скорость была на 15 км/ч больше, то на этот путь эму потребовалось бы 2,4 ч. Определите скорость автомобиля и расстояние между городами.

Answer 1

х- скорость, х+15, км/ч- была бы скорость

3*х=(х+15)*2,4

3х=2,4х+36

3х-2,4х=36

0,6х=36

х=36/0,6

х=60

60, км/ч- скорость

60*3=180км- расстояние между городам

Answer 2

Calculation of the Car's Speed and Distance between Cities

To determine the speed of the car and the distance between the two cities, we can use the information provided in the question. Let's break down the problem step by step:

1. Let's assume the original speed of the car is x km/h. 2. According to the question, the car takes 3 hours to cover the distance between the two cities at this speed. 3. If the car's speed were 15 km/h faster, it would take 2.4 hours to cover the same distance.

To find the speed of the car and the distance between the cities, we can set up the following equations:

Equation 1: Distance = Speed × Time

Equation 2: Distance = (Speed + 15) × 2.4

By equating the two equations, we can solve for the speed and distance.

Let's solve the equations:

Equation 1: Distance = Speed × Time Equation 2: Distance = (Speed + 15) × 2.4

Setting the two equations equal to each other:

Speed × 3 = (Speed + 15) × 2.4

Now, let's solve for the speed:

3Speed = 2.4Speed + 36 3Speed - 2.4Speed = 36 0.6Speed = 36 Speed = 36 / 0.6 Speed = 60 km/h

The speed of the car is 60 km/h.

Now, let's calculate the distance using Equation 1:

Distance = Speed × Time Distance = 60 km/h × 3 hours Distance = 180 km

The distance between the two cities is 180 km.

Therefore, the speed of the car is 60 km/h and the distance between the two cities is 180 km.

Please note that the search results provided by You.com did not contain specific information related to this question.