Question

Расстояние между двумя городами автомобиль проезжает за 3 часа,а автобус,скорость которого на 18 км/ч меньше,-за 3,75 часа. Определите скорость автомобиля и расстояние между городами. Плиз мне на завтра:(

Answer 1

Х-скорость автобуса,х+18-скорость автомобиля
3,75*х=3*(х+18)
3,75х-3х=54
0,75х=54
х=54:0,75
х=72км/ч скорость автобуса
72+18=90км/ч-скорость автомобиля
3*90=270км расстояние между городами

Answer 2

Problem Analysis

We are given that a car travels a certain distance between two cities in 3 hours, while a bus, which has a speed 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's speed is 18 km/h slower than the car, the speed of the bus is x - 18 km/h.

We can use the formula distance = speed × time to calculate the distance between the cities.

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

For the bus: - Speed: x - 18 km/h - Time: 3.75 hours

Using the formula, we can set up the following equations:

Car: distance = speed × time Bus: distance = speed × time

Let's solve these equations to find the values of x (car's speed) and the distance between the cities.

Calculation

Using the given information, we can set up the following equations:

Car: distance = speed × time Bus: distance = speed × time

For the car: distance = x × 3

For the bus: distance = (x - 18) × 3.75

Since the distances are the same, we can set up the equation:

x × 3 = (x - 18) × 3.75

Let's solve this equation to find the value of x.

3x = 3.75x - 67.5 0.75x = 67.5 x = 67.5 / 0.75 x = 90

The speed of the car is 90 km/h.

Now, let's calculate the distance between the cities using the speed of the car.

distance = speed × time distance = 90 × 3 distance = 270 km

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.