Question

СРОЧНО ПОМОГИТЕ РЕШИТЬ ЗАДАЧИ ПЖ!!!! От села до города легковой автомобиль доехал за 2ч,а грузовой-за 5ч.Найдите скорость каждого автомобиля если,скорость грузового автомобиля на 48км/ч меньше скорости легкового автомобиля . От одной станции отошел поезд со скорость 56км/ч,а через 4ч от другой станции навстречу ему отошел второй поезд со скоростью 64км/ч.Сколько времени был в пути каждый поезд до встречи,если расстояние между станциями равно 584км?

Answer 1

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Answer 2

Problem 1: Speed of Cars

To find the speeds of the cars, we can set up a system of equations based on the given information.

Let's assume the speed of the passenger car is x km/h and the speed of the truck is x - 48 km/h.

We know that the passenger car took 2 hours to travel from the village to the city, and the truck took 5 hours. We can use the formula speed = distance / time to set up the equations:

For the passenger car: x = distance / 2

For the truck: (x - 48) = distance / 5

To solve this system of equations, we can substitute the value of distance from one equation into the other equation.

Let's solve it step by step:

1. Multiply both sides of the first equation by 2 to eliminate the fraction: 2x = distance

2. Substitute the value of distance in the second equation: (x - 48) = (2x) / 5

3. Multiply both sides of the second equation by 5 to eliminate the fraction: 5(x - 48) = 2x

4. Distribute and simplify: 5x - 240 = 2x

5. Subtract 2x from both sides: 3x - 240 = 0

6. Add 240 to both sides: 3x = 240

7. Divide both sides by 3: x = 80

So, the speed of the passenger car is 80 km/h, and the speed of the truck is 80 - 48 = 32 km/h.

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