Question

Автобус прошел расстояние между двумя поселками за 1,8ч. Если бы его скорость была на 9км/ч больше,то это же расстояние он прошел бы за 1,5ч. С какой скоростью шел автобус?

Answer 1

Х скорость автобуса
х+9 скорость, с которой автобус мог бы ехать
1,8х=1,5(х+9)
1,8х=1,5х+13,5
0,3х=13,5
х=45км/час

Answer 2

Пусть х - скорость автобуса.
1,8х=1,5*(х+9)
1,8х=1,5х+1,5*9
1,8х=1,5х+13,5
1,8х-1,5х=13,5
0,3х=13,5
х=13,5/0,3
х=45
Ответ: 45 км./ч. - скорость автобуса.

Answer 3

Solution:

Let's solve the problem step by step.

1. Identify the Variables: - Let's denote the original speed of the bus as x km/h. - The distance between the two villages will be denoted as d km.

2. Formulate the Equations: - Using the formula distance = speed × time, we can create the following equations: - Equation 1: \(d = x \times 1.8\) (original time taken to cover the distance) - Equation 2: \(d = (x + 9) \times 1.5\) (time taken with increased speed)

3. Solve the Equations: - We can solve the system of equations to find the value of x.

4. Calculate the Speed of the Bus: - After solving for x, we can determine the speed of the bus.

Calculation:

Using the given equations, we can solve for x:

Equation 1: \(d = x \times 1.8\) Equation 2: \(d = (x + 9) \times 1.5\)

By equating the two expressions for d, we get:

\(x \times 1.8 = (x + 9) \times 1.5\)

Solving for x: \(1.8x = 1.5x + 13.5\) \(0.3x = 13.5\) \(x = \frac{13.5}{0.3}\) \(x = 45\)

Answer:

The bus was traveling at a speed of 45 km/h.