Question

Растояние между пунктами а и б автобус проехал за 2.5 часа а машинаа за 1.5 известно что автобус ехал на 30 км меньше медленее автомобиля найти скорость каждова

Answer 1

Пусть расстояние между пунктами А и Б = x
Формула: S = V·t
Нам известно время.
Найдем скорость автобуса Vа: 
Vа = S÷t = x ÷ 2.5 = x/2.5 (км/час)
Найдем скорость автомобиля Vавт:
Vавт = S÷t = x ÷ 1.5 = x/1.5 (км/час)
Нам известно, что Va + 30 = Vавт (км/час)
Составим уравнение:
x/2.5 + 30 = x/1.5
30 = x/1.5 - x/2.5
Умножим левую и правую часть уравнения на 7.5
30·7.5 = 7.5·x/1.5 - 7.5·x/2.5
225 = 5x - 3x
225 = 2x
x = 112.5 (км)
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Нам известно расстояние между А и Б
Теперь найдем скорость каждого:
Vа = 112.5 ÷ 2.5 = 45 (км/час)
Vавт = 112.5 ÷ 1.5 = 75 (км\час)
Значит скорость автобуса 45 км/час, а скорость автомобиля 75 км/час

Answer 2

Calculation of Speeds

To find the speeds of the bus and the car, we need to determine the distance between points A and B. We are given that the bus traveled this distance in 2.5 hours, while the car took 1.5 hours. Additionally, we know that the bus was traveling 30 km slower than the car.

Let's assume the speed of the car is x km/h. Since the bus was traveling 30 km slower, its speed would be x - 30 km/h.

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

Distance = Speed × Time

For the bus, the distance is the same as the car's distance, so we have:

(x - 30) × 2.5 = x × 1.5

Simplifying the equation:

2.5x - 75 = 1.5x

2.5x - 1.5x = 75

x = 75

Therefore, the speed of the car is 75 km/h.

To find the speed of the bus, we substitute the value of x into the equation:

Speed of the bus = x - 30 = 75 - 30 = 45 km/h.

So, the speed of the bus is 45 km/h.

Please note that the above calculation assumes a linear relationship between speed and time, which may not always hold true in real-world scenarios.