Question

От города до поселка автомобиль доехал за 3 ч.если бы он увеличил скорость на 25 км/ч то приехал бы на час раньше.чему равно расстояние от города до поселка?

Answer 1

Пусть скорость х  тогда :3х=2(х+25)   х=50  расстояние =3х=150

Answer 2

Problem Analysis

We are given that a car traveled from a city to a village in 3 hours. If the car had increased its speed by 25 km/h, it would have arrived 1 hour earlier. We need to find the distance from the city to the village.

Solution

Let's assume the initial speed of the car is x km/h. According to the given information, the car traveled the distance from the city to the village in 3 hours. Therefore, the distance can be calculated as:

Distance = Speed × Time

The initial distance can be expressed as:

Distance = x km/h × 3 h

If the car had increased its speed by 25 km/h, the new speed would be x + 25 km/h. The new time taken to travel the same distance would be 2 hours. Therefore, the new distance can be calculated as:

New Distance = (x + 25) km/h × 2 h

According to the problem, the new time is 1 hour less than the initial time. So, we can write the equation:

New Distance = Distance - 1 hour

Now, we can set up an equation to solve for the initial distance:

(x + 25) km/h × 2 h = x km/h × 3 h - 1 hour

Simplifying the equation:

2(x + 25) = 3x - 1

Solving for x:

2x + 50 = 3x - 1

50 + 1 = 3x - 2x

51 = x

Therefore, the initial speed of the car is 51 km/h.

Now, we can calculate the distance from the city to the village using the initial speed:

Distance = 51 km/h × 3 h

Distance = 153 km

So, the distance from the city to the village is 153 km.

Answer

The distance from the city to the village is 153 km.