Question

От города до поселка автомобиль доехал за 3 часа. Если бы он увеличил скорость на 25 км/ч, то приехал бы на час раньше. Чему равно расстояние от города до посёлка?

Answer 1

1)пусть скорость будет-x
составим и решим уравнение
3x=2*(x+25)
3x=2x+50
3x-2x=50км/ч-скорость автомобиля
2)50*3=150(км)-расстояние от города до посёлка

Answer 2

Calculation of Distance

To find the distance from the city to the village, we can use the formula:

Distance = Speed x Time

Let's denote the original speed of the car as S and the original time taken to travel from the city to the village as T. According to the given information, the car took 3 hours to reach the village at the original speed.

If the car had increased its speed by 25 km/h, it would have arrived 1 hour earlier. This means the new time taken to travel from the city to the village would be T - 1.

Using the formula, we can set up the following equation:

S x T = (S + 25) x (T - 1)

Simplifying the equation, we get:

S x T = S x (T - 1) + 25 x (T - 1)

Expanding and rearranging the equation, we have:

S x T = S x T - S + 25 x T - 25

Simplifying further, we get:

S = 25

Therefore, the original speed of the car is 25 km/h.

Now, we can substitute the value of S into the equation to find the distance:

25 x T = (25 + 25) x (T - 1)

Simplifying the equation, we get:

25 x T = 50 x (T - 1)

Expanding and rearranging the equation, we have:

25 x T = 50 x T - 50

Simplifying further, we get:

25 x T = 50 x T - 50

25 x T - 50 x T = -50

-25 x T = -50

Dividing both sides of the equation by -25, we get:

T = 2

Therefore, the original time taken to travel from the city to the village is 2 hours.

Now, we can calculate the distance using the formula:

Distance = Speed x Time

Substituting the values of speed and time, we get:

Distance = 25 km/h x 2 hours

Distance = 50 km

Therefore, the distance from the city to the village is 50 kilometers.