Question

Владислав и Станислав участвовали в велогонках. На старте Владислав, двигаясь вдвое быстрее Станислава, ушёл в отрыв. Через 10 минут после старта велосипед Владислава сломался, и оставшуюся часть дистанции велогонщик шёл пешком со скоростью 6 км/ч. Участники гонки достигли финиша одновременно через 30 минут после старта. Считая скорость Станислава постоянной, найдите длину дистанции от старта до финиша. (кто правильно ответит тот получит 30 баллов)

Answer 1

Y : 2 = s
y * 2 : 6 + 6 : 3 = s
///
y : 2 = s
y : 3 + 2 = s
///
y = s * 2
y + 6 = s * 3
s = 6
Расстояние 6км
Станислав - 12км/ч
Владислав - 24км/ч

Answer 2

Problem Analysis

We are given that Vladislav and Stanislav participated in a bicycle race. Vladislav initially moved at twice the speed of Stanislav but later his bicycle broke down, and he continued on foot at a speed of 6 km/h. Both participants reached the finish line at the same time, 30 minutes after the start. We need to find the length of the racecourse.

Solution

Let's assume the length of the racecourse is d kilometers.

We know that Vladislav initially moved at twice the speed of Stanislav. Let's assume Stanislav's speed is s km/h. Therefore, Vladislav's initial speed is 2s km/h.

Vladislav's bicycle broke down after 10 minutes, which is 10/60 = 1/6 hours. During this time, Vladislav covered a distance of (2s) * (1/6) = s/3 km.

After his bicycle broke down, Vladislav continued on foot at a speed of 6 km/h. The remaining distance to the finish line is (d - s/3) km.

Both participants reached the finish line at the same time, 30 minutes after the start. This means that the time taken by Stanislav to cover the entire distance is 30 minutes or 30/60 = 1/2 hours.

Using the formula distance = speed * time, we can write the equation: (d - s/3) = s * (1/2)

Simplifying the equation, we get: 2d - s/3 = s/2

Multiplying both sides of the equation by 6 to eliminate the fractions, we get: 12d - 2s = 3s

Rearranging the equation, we get: 12d = 5s

Now, we need to find the ratio of the distance to the speed. Dividing both sides of the equation by s, we get: 12d/s = 5

Therefore, the length of the racecourse is given by: d = 5s/12

Calculation

Since we don't have the specific values for s or d, we cannot calculate the exact length of the racecourse. However, we can conclude that the length of the racecourse is directly proportional to the speed of Stanislav and inversely proportional to the constant factor 12.

Please provide the value of Stanislav's speed (s) in km/h, and I will calculate the length of the racecourse (d) accordingly.