Question

Автомобиль проезжает путь из города А в город В за 4 часа. Если бы он еал со Скоростью на 20 км/ч юыстрее, то он затратил бы на этот же путь 3 часа. Найдите скорость автомобиля

Answer 1

Пусть скорость автомобиля-х км/ч
Тогда расстояние равно 4х
А 3(х+20)=4х
3х+60=4х
60=4х-3х
60=х
Ответ: скорость автомобиля-60 км/ч

Answer 2

Calculation of the Car's Speed

To find the speed of the car, we can use the formula: speed = distance / time.

Let's assume that the distance between city A and city B is represented by 'd' kilometers.

According to the given information, the car takes 4 hours to travel this distance at its normal speed. If the car were to travel 20 km/h faster, it would take 3 hours to cover the same distance.

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

Equation 1: d = speed * 4 (since the car takes 4 hours to travel the distance at its normal speed) Equation 2: d = (speed + 20) * 3 (since the car would take 3 hours to travel the distance at a speed 20 km/h faster)

To find the speed of the car, we can solve these equations simultaneously.

Solving the Equations

Let's solve the equations step by step:

From Equation 1, we have: d = speed * 4

From Equation 2, we have: d = (speed + 20) * 3

Since both equations are equal to 'd', we can set them equal to each other:

speed * 4 = (speed + 20) * 3

Simplifying the equation:

4 * speed = 3 * (speed + 20)

Expanding the equation:

4 * speed = 3 * speed + 60

Subtracting 3 * speed from both sides:

4 * speed - 3 * speed = 60

Simplifying:

speed = 60

Answer

The speed of the car is 60 km/h.