Question

Из двух сел, расстояние между которыми 37,5 км, навстречу друг другу одновременно отправились 2 велосипедиста. Через 1,5 ч они встретились. Известно, что скорость одного велосипедиста на 5 км/ч больше скорости другого. С какой скоростью ехал каждый велосипедист?

Answer 1

37,5/1,5=25км/ч их скорость

25-5/2=10км/ч скорость одного

10+5=15км/ч скорость второго

Answer 2

Problem Analysis

We have two cyclists who start simultaneously from two different villages and meet after 1.5 hours. The distance between the villages is 37.5 km. We also know that one cyclist's speed is 5 km/h faster than the other. We need to find the speed of each cyclist.

Solution

Let's assume the speed of the slower cyclist is x km/h. Then the speed of the faster cyclist would be x + 5 km/h.

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

The slower cyclist travels for 1.5 hours, so the distance covered by the slower cyclist is 1.5x km.

The faster cyclist also travels for 1.5 hours, so the distance covered by the faster cyclist is 1.5(x + 5) km.

Since they meet after 1.5 hours, the sum of the distances covered by both cyclists should be equal to the total distance between the villages, which is 37.5 km.

Therefore, we can set up the equation:

1.5x + 1.5(x + 5) = 37.5

Simplifying the equation:

1.5x + 1.5x + 7.5 = 37.5

3x + 7.5 = 37.5

3x = 30

x = 10

So, the speed of the slower cyclist is 10 km/h and the speed of the faster cyclist is 15 km/h.

Answer

The slower cyclist was traveling at a speed of 10 km/h and the faster cyclist was traveling at a speed of 15 km/h.