Question

Срочно!!!!!!Задача.Расстояние между двумя городами автомобиль преодолевает за 3 часа, а автобус , скорость которого на 18 км в час меньше , -за 3,75 часов.Определите скорость автомобиля и расстояние между городами

Answer 1

Problem Analysis

We are given that a car travels a certain distance between two cities in 3 hours, while a bus, which is 18 km/h slower than the car, takes 3.75 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. Since the bus is 18 km/h slower than the car, its speed will be x - 18 km/h.

We can use the formula distance = speed × time to calculate the distance traveled by both the car and the bus.

For the car: - Speed: x km/h - Time: 3 hours - Distance: x × 3 km

For the bus: - Speed: x - 18 km/h - Time: 3.75 hours - Distance: (x - 18) × 3.75 km

Since the distances traveled by the car and the bus are the same, we can set up the following equation:

x × 3 = (x - 18) × 3.75

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

Calculation

x × 3 = (x - 18) × 3.75

Expanding the equation: 3x = 3.75x - 67.5

Rearranging the equation: 3.75x - 3x = 67.5

Simplifying: 0.75x = 67.5

Dividing both sides by 0.75: x = 90

The speed of the car is 90 km/h.

To find the distance between the cities, we can substitute the value of x into either of the distance formulas. Let's use the car's distance formula:

Distance = Speed × Time Distance = 90 km/h × 3 hours Distance = 270 km

Therefore, the speed of the car is 90 km/h and the distance between the cities is 270 km.

Answer

The speed of the car is 90 km/h and the distance between the cities is 270 km.