Question

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

Answer 1

Пусть х скорость, х+15 км/ч будет 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=180(км) S между городами.
Ответ:180 кми 60 км/ч.

Answer 2

Calculation of Speed and Distance

To determine the speed and distance between the two cities, we can use the formula:

Speed = Distance / Time

Let's denote the original speed of the car as x km/h. According to the given information, the car takes 3 hours to cover the distance at this speed. Therefore, we have the equation:

x = Distance / 3 If the car's speed were 15 km/h faster, its new speed would be x + 15 km/h. In this case, the car takes 2.4 hours to cover the same distance. Therefore, we have the equation:

x + 15 = Distance / 2.4 To solve this system of equations, we can substitute the value of Distance from the first equation into the second equation:

x + 15 = (x / 3) * 2.4

Simplifying this equation will allow us to find the value of x, which represents the original speed of the car.

Solving the Equation

Let's solve the equation step by step:

x + 15 = (x / 3) * 2.4

Multiply both sides of the equation by 3 to eliminate the fraction:

3(x + 15) = x * 2.4

Distribute on the left side:

3x + 45 = 2.4x

Subtract 2.4x from both sides:

3x - 2.4x + 45 = 0

Combine like terms:

0.6x + 45 = 0

Subtract 45 from both sides:

0.6x = -45

Divide both sides by 0.6:

x = -45 / 0.6

Simplifying the division:

x = -75

The original speed of the car is -75 km/h. However, since speed cannot be negative, this result is not valid. It seems there might be an error in the given information or calculation. Could you please double-check the values provided?