Question

Два велосипедиста выехали навстречу друг другу из двух поселков, расстояние между которыми 27 км, и через 25 минут расстояние между ними стало равно 12 км. Скорости велосипедистов относятся как 5:4. Найдите скорость каждого велосипеиста.Срочно!!!

Answer 1

найдем сколько они проехали за 25 мин. для этого 27-12=15 км. теперь найдем скорость сближения 15/25= 3/5 км/мин. терерь зная скорость сближения и расстояний найдем время 27/3/5=45 мин. ответ через 45 мин

Answer 2

Problem Analysis

We are given that two cyclists start from two different villages and ride towards each other. The initial distance between the villages is 27 km, and after 25 minutes, the distance between the cyclists becomes 12 km. The speeds of the cyclists are in a ratio of 5:4. We need to find the speed of each cyclist.

Solution

Let's assume the speed of the first cyclist is 5x km/h and the speed of the second cyclist is 4x km/h.

We can use the formula: speed = distance / time to find the speeds of the cyclists.

After 25 minutes (which is 25/60 = 5/12 hours), the distance between the cyclists becomes 12 km. We can set up the following equation:

Distance1 + Distance2 = 27 km

Speed1 * Time + Speed2 * Time = 27 km

5x * (5/12) + 4x * (5/12) = 27

Simplifying the equation:

(25x + 20x) / 12 = 27

45x = 27 * 12

x = (27 * 12) / 45

x = 7.2

Now, we can find the speed of each cyclist:

Speed1 = 5x = 5 * 7.2 = 36 km/h

Speed2 = 4x = 4 * 7.2 = 28.8 km/h

Therefore, the speed of the first cyclist is 36 km/h and the speed of the second cyclist is 28.8 km/h.

Answer

The speed of the first cyclist is 36 km/h and the speed of the second cyclist is 28.8 km/h.