Question

Из одной точки круговой трассы длина которой равна 12 км, одновременно в одном направлении стартовали два автомобиля. Скорость первого авто равна 101 км/ч и через 20 минут после старта он опережал второй автомобиль на один круг. Найдите скорость второго авто.

Answer 1

S +12- 1 Авт.за 20 мин   20=1\3 часа
(S+12)\101=1\3
3s+36=101
3S=65
S=65\3
65\3 разделить на 1\3 =65км\ч

Answer 2

Problem Analysis

We are given that two cars start simultaneously from a circular track with a length of 12 km. The first car has a speed of 101 km/h and after 20 minutes, it overtakes the second car by completing one lap. We need to find the speed of the second car.

Solution

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

We know that the first car overtakes the second car after completing one lap, which means the distance covered by the first car is equal to the length of the track.

The time taken by the first car to complete one lap is given by the formula:

Time = Distance / Speed

For the first car, the time taken to complete one lap is:

Time1 = 12 km / 101 km/h

Since the second car starts 20 minutes (1/3 hour) later, the time taken by the second car to complete one lap is:

Time2 = Time1 + 1/3 hour

The distance covered by the second car in this time is:

Distance2 = x km/h * Time2

Since the second car completes one lap, the distance covered by the second car is equal to the length of the track:

Distance2 = 12 km

Now we can solve for the speed of the second car, x.

Calculation

Let's substitute the values and solve for x:

x * (Time1 + 1/3) = 12

x * (12 / 101 + 1/3) = 12

x * (12/101 + 1/3) = 12

x * (36/303 + 101/303) = 12

x * (137/303) = 12

x = 12 * (303/137)

x ≈ 26.55 km/h

Answer

The speed of the second car is approximately 26.55 km/h.

Note: The answer has been calculated based on the given information and the assumption made.