Question

Автомобиль проезжает путь из города в деревню за 4 часа. Если бы он ехал со скоростью на 20 км/ч быстрее, то он затратил бы на этот же путь 3 часа. Найдите скорость автомобиля.

Answer 1

Пусть скорость автомобиля была -х км\ч,
тогда он проехал расстояние -4х км
новая скорость -х+20 км\ч
расстояние -3(х+20) км,
т.к  эти расстояния равны то составляем ур.  4х=3(х+20)
  4х=3(х+20)
   4х=3х+60
   4х-3х=60
   х=60 км\ч      скорость автомобиля

Answer 2

4*x=3*(x+20)
4x=3x+60
4x-3x=60
x=60 км в час

Answer 3

Finding the Speed of the Car

To find the speed of the car, we can use the given information that the car takes 4 hours to travel from the city to the village and would take 3 hours if it were traveling 20 km/h faster.

Let's assume the original speed of the car is x km/h.

According to the given information, if the car were traveling at a speed 20 km/h faster, it would take 3 hours to cover the same distance. This can be represented by the equation:

Distance = Speed × Time

For the original speed: Distance = x km/h × 4 hours

For the increased speed: Distance = (x + 20) km/h × 3 hours

Since the distances are the same, we can set the two equations equal to each other:

x km/h × 4 hours = (x + 20) km/h × 3 hours

Now we can solve this equation to find the value of x, which represents the original speed of the car.

Let's solve the equation step by step:

1. Distribute the terms on the right side of the equation:

4x km/h × hours = 3x km/h × hours + 60 km/h × hours

2. Combine like terms:

4x km/h × hours - 3x km/h × hours = 60 km/h × hours

x km/h × hours = 60 km/h × hours

3. Divide both sides of the equation by hours:

x km/h = 60 km/h

Therefore, the original speed of the car is 60 km/h.

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