Question

Мотоциклист и велосипедист вышли противоположно на 1 пункт в одно время. Скорость мотоциклиста на 2,5 раза больше чем скорость велосипедиста.Если, после 45 минут они будут друг от друга на 31,5 км, найдите скорость велосипедиста за минуты. Помогите пожалуйста.

Answer 1

31,5/45=0,7 км/мин-скорость отдаления
х-скорость вело
2,5х-скорость мото

х+2,5х=0,7
3,5х=0,7
х=0,7/3,5
х=0,2км/мин-скорость вело

Answer 2

Problem Analysis

We are given that a motorcyclist and a cyclist start from opposite ends of a point at the same time. The speed of the motorcyclist is 2.5 times greater than the speed of the cyclist. After 45 minutes, they are 31.5 km apart. We need to find the speed of the cyclist.

Solution

Let's assume the speed of the cyclist is x km/h. Since the speed of the motorcyclist is 2.5 times greater, the speed of the motorcyclist is 2.5x km/h.

We know that distance = speed × time. After 45 minutes (0.75 hours), the distance covered by the cyclist is 0.75x km and the distance covered by the motorcyclist is 0.75 × 2.5x = 1.875x km.

Since they are 31.5 km apart, we can set up the following equation:

0.75x + 1.875x = 31.5

Simplifying the equation:

2.625x = 31.5

Dividing both sides by 2.625:

x = 12

Therefore, the speed of the cyclist is 12 km/h.

Answer

The speed of the cyclist is 12 km/h.