Question

расстояние между двумя городами автомобиль проезжает за 3 часа, а автобус скорость которого на 18 км/ч меньше за 3,75часов определите скорость автомобиля и растояния между городами

Answer 1

Пусть х км в час - скорость автомобиля, тогда (х-18) км в час - скорость автобуса.
3х км - путь, пройденный автомобилем за 3 часа;
3,75·(х-18) км - путь, пройденный автобусом.

Уравнение
3,75(х-18)=3х;
3,75х-67,5=3х;
3,75х-3х=67,5
0,75х=67,5
х=67,5:0,75
х=90

3х=3·90=270 км

О т в е т. Скорость автомобиля 90 км в час, расстояние между городами 270 км.

Answer 2

Calculation of Car Speed and Distance Between Cities

To determine the speed of the car and the distance between the two cities, we can use the given information:

- The car travels the distance in 3 hours. - The bus, which has a speed 18 km/h slower than the car, takes 3.75 hours to cover the same distance.

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

Calculating the Speed of the Car

Since the car travels the distance in 3 hours, we can use the formula:

Speed = Distance / Time

Substituting the values, we have:

x = d / 3

Calculating the Speed of the Bus

The bus takes 3.75 hours to cover the same distance. Since the bus's speed is 18 km/h slower than the car's speed, we can use the formula:

Speed = Distance / Time

Substituting the values, we have:

(x - 18) = d / 3.75

Solving the Equations

To find the values of x and d, we can solve the system of equations formed by equations and.

By rearranging equation we have:

d = 3x

Substituting this value into equation we have:

(x - 18) = (3x) / 3.75

Simplifying the equation:

4x - 72 = 3x

x = 72

Calculating the Distance Between the Cities

Substituting the value of x into equation we can find the distance:

d = 3 * 72

d = 216

Therefore, the speed of the car is 72 km/h and the distance between the two cities is 216 km.

Please note that the calculations provided are based on the given information and assumptions made.