Question

СРОЧНО РЕШИТЕ ЗАДАЧУ С ТАБЛИЧКОЙ!!! 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

Answer 1

Обозначим скорость автомобиля за х, а затем с учетом введенного обозначения заполним таблицу:

                                S, км                    V, км\ч                          t, ч
 машина                  3 * x                          х                                3

 автобус            3.75 * ( x - 18)             х - 18                           3.75

S = V * t

Так, как путь пройден одинаковый, то просто приравниваем две соответствующие графы.

3*x   = 3.75 * (х - 18)
3*х  = 3.75*х - 67.5
0.75*х = 67.5
х = 90 км\ч - скорость автомобиля
3 * 90 = 270 км - расстояние между городами.
Ответ: 90 км\ч, 270 км

Answer 2

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, 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: distance = x km/h × 3 hours

For the bus: distance = (x - 18) km/h × 3.75 hours

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

x km/h × 3 hours = (x - 18) km/h × 3.75 hours

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

Calculation

To solve the equation, we can cross-multiply and simplify:

3x = 3.75(x - 18)

3x = 3.75x - 67.5

3x - 3.75x = -67.5

-0.75x = -67.5

Dividing both sides by -0.75:

x = -67.5 / -0.75

x = 90

Answer

The speed of the car is 90 km/h.

To find the distance between the cities, we can substitute the value of x into one of the distance formulas:

distance = x km/h × 3 hours

distance = 90 km/h × 3 hours

distance = 270 km

Therefore, the distance between the cities is 270 km.

Please note that negative values are not possible in this context, so the negative sign in the calculation was ignored.