Question

От города а до города б Автомобиль проехал за 4 часа какое расстояние между городами если на обратном пути он увеличил скорость на 20 километров в час и преодолел этот путь за 3 часа

Answer 1

Х - км/ч - скорость от А до Б
Х + 20 км/ч - скорость от Б до А
 х * 4 = (х + 20 )* 3
4х = 3х + 60
х = 60 км/ч скорость автомобиля от А до Б
60  * 4 = 240 км расстояние между городами
ПРОВЕРКА
(60+20) * 3 = 240 км 

Answer 2

Calculation of Distance between City A and City B

To calculate the distance between City A and City B, we need to consider the information provided.

According to the given information, the car traveled from City A to City B in 4 hours. On the return trip, the car increased its speed by 20 kilometers per hour and completed the journey in 3 hours.

Let's break down the problem step by step:

1. Let's assume the initial speed of the car on the first trip from City A to City B is x kilometers per hour. 2. The car traveled for 4 hours at speed x on the first trip. 3. On the return trip, the car increased its speed by 20 kilometers per hour, so the speed becomes (x + 20) kilometers per hour. 4. The car traveled for 3 hours at speed (x + 20) on the return trip.

To find the distance between City A and City B, we can use the formula:

Distance = Speed × Time

Let's calculate the distance using the given information:

1. On the first trip: - Speed = x kilometers per hour - Time = 4 hours - Distance = x × 4 = 4x kilometers

2. On the return trip: - Speed = (x + 20) kilometers per hour - Time = 3 hours - Distance = (x + 20) × 3 = 3x + 60 kilometers

Since the distance traveled on the first trip is the same as the distance traveled on the return trip, we can equate the two distances:

4x = 3x + 60

Simplifying the equation:

x = 60

Now that we have found the value of x, we can substitute it back into the equation to find the distance:

Distance = 4x = 4 × 60 = 240 kilometers

Therefore, the distance between City A and City B is 240 kilometers.