Question

1. Відстань між двома станціями автобус долає за 1,5 год. Якщо швидкість руху автобуса збільшити на 6 км/год, то цю саму відстань він подолає за 1,2 год. Знайдіть початкову швидкість автобуса.

Answer 1

Ответ:

24

Пошаговое объяснение:

x - начальная скорость автобуса, км/ч.

1,5x=1,2(x+6)                 |×10/3

5x=4x+24

x=24 км/ч

Answer 2

To find the initial speed of the bus, we can set up a system of equations based on the given information.

Let's assume the initial speed of the bus is v km/h.

According to the problem, when the bus travels at this speed, it takes 1.5 hours to cover a certain distance between two bus stops.

When the speed of the bus is increased by 6 km/h, it takes 1.2 hours to cover the same distance.

We can use the formula distance = speed × time to set up the equations:

Equation 1: distance = v × 1.5

Equation 2: distance = (v + 6) × 1.2

To find the initial speed of the bus, we need to solve these equations simultaneously.

Let's solve the equations:

Solving the equations:

From Equation 1, we have:

distance = v × 1.5

From Equation 2, we have:

distance = (v + 6) × 1.2

Since both equations represent the same distance, we can equate them:

v × 1.5 = (v + 6) × 1.2

Now, let's solve this equation for v:

1.5v = 1.2v + 7.2

0.3v = 7.2

v = 7.2 / 0.3

v = 24

Answer:

The initial speed of the bus is 24 km/h.

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