Question

автомобиль проезжает путь из города А в город В за 4 часа. если бы он ехал со скоростью на 20 км. в час быстрее,то он затратил бы на этот же путь 3 часа.найдите скорость автомобиля.

Answer 1

Calculation of the Car's Speed

To find the speed of the car, we can set up a proportion based on the given information. Let's assume the original speed of the car is x km/h.

According to the problem, if the car traveled at a speed 20 km/h faster, it would have taken 3 hours to cover the same distance.

Using the formula for speed, which is distance divided by time, we can set up the following proportion:

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

To solve this proportion, we can cross-multiply:

4(x + 20) = 3x

Expanding and simplifying the equation:

4x + 80 = 3x

Subtracting 3x from both sides:

x + 80 = 0

Subtracting 80 from both sides:

x = -80

However, since speed cannot be negative, we can conclude that there is no valid solution for this problem.