Question

Через полчаса после начала движения автомобиль увеличил скоростьна 10 км/ч и еще через полтора часа оказался на расстоянии 145 км от пункта отправления. Какова была первоначальная скорость движения автомобиля?

Answer 1

Х-первоначальная скорость
0,5х+1,5(х+10)=145
0,5х+1,5х+15=145
2х=130
х=65 км/ч

Answer 2

X-первоночальная скорость
0,5х+1,5(x+10)=145
0,5x+1,5x+15=145
2x=145-15
2x=130
x=130:2
x=65км/ч

Answer 3

Calculation of Initial Speed of the Car

To determine the initial speed of the car, we can use the information provided. We know that the car increased its speed by 10 km/h half an hour after starting and ended up at a distance of 145 km from the starting point one and a half hours later.

Let's break down the information given: - The car increased its speed by 10 km/h after half an hour. - The car ended up at a distance of 145 km from the starting point one and a half hours later.

To calculate the initial speed of the car, we can use the formula:

Distance = Speed × Time

Let's assign variables to the given information: - Let x be the initial speed of the car. - The time after the speed increase is 0.5 hours. - The total time traveled is 1.5 hours. - The final distance from the starting point is 145 km.

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

1. For the time after the speed increase: (x + 10) × 0.5 = ?

2. For the total time traveled: x × 1.5 = 145

Now, let's solve these equations to find the initial speed of the car.

Solving the Equations

1. For the time after the speed increase: (x + 10) × 0.5 = ?

Multiplying both sides by 0.5: x + 10 = ?

2. For the total time traveled: x × 1.5 = 145

Dividing both sides by 1.5: x = 145 ÷ 1.5

Simplifying: x = 96.67

Answer

The initial speed of the car was approximately 96.67 km/h.

Please note that the calculations are based on the given information and may not be exact due to rounding.