Question

Решите пожалуйста. Расстояние между пунктами А и В автомобиль проехал за 2,4 часа, а автобус за 4,2 часа. Найдите скорость каждой машины, если известно, что скорость автомобиля на 6 км/ч больше, чем автобуса? Расстояние между пунктами А и В автомобиль проехал за 2,4 часа, а автобус за 4,2 часа. Найдите скорость каждой машины, если известно, что скорость автомобиля на 6 км/ч больше, чем автобуса?

Answer 1

2.4x=4.2y
y=x-6
2.4x=4.2(x-6)
2.4x-4.2x=4.2*(-6)
-1.8x=-25.2
x=-25.2/(-1.8)
x=14
y=14-6=8 не очень быстрые машинки

Answer 2

Problem Analysis

We are given that a car traveled from point A to point B in 2.4 hours, while a bus traveled the same distance in 4.2 hours. We also know that the car's speed is 6 km/h faster than the bus's speed. We need to find the speed of each vehicle.

Solution

Let's assume the speed of the bus is x km/h. Since the car's speed is 6 km/h faster, the speed of the car is x + 6 km/h.

We can use the formula speed = distance / time to find the distance traveled by each vehicle.

For the car: - Speed of the car = x + 6 km/h - Time taken by the car = 2.4 hours - Distance traveled by the car = (Speed of the car) * (Time taken by the car) = (x + 6) * 2.4 km

For the bus: - Speed of the bus = x km/h - Time taken by the bus = 4.2 hours - Distance traveled by the bus = (Speed of the bus) * (Time taken by the bus) = (x) * 4.2 km

Since both vehicles traveled the same distance, we can equate the distances traveled by the car and the bus and solve for x.

Equation 1: (x + 6) * 2.4 = (x) * 4.2

Simplifying Equation 1: 2.4x + 14.4 = 4.2x

Rearranging the equation: 2.4x - 4.2x = -14.4

Simplifying further: -1.8x = -14.4

Dividing both sides by -1.8: x = 8

Therefore, the speed of the bus is 8 km/h, and the speed of the car is 8 + 6 = 14 km/h.

Answer

The speed of the bus is 8 km/h, and the speed of the car is 14 km/h.