Question

Помогите. Задача- Решаетсья уровнением.Из двух пунктов,расстояние между которыми 40 км, навстречу друг другу одновременно отправились пешеход и велосипедист. Скорость велосипедиста в 4 раза больше скорости пешехода. Найдите скорости пешехода и велосипедиста, если известно, что они встретились через 2,5 ч после своего выхода.

Answer 1

X-скорость пешехода
4х-скорость велосепедиста
40(км)=(х+4х)*2.5(ч)
40/2.5=5х
5х=16
х=16/5
х=3.1
4х=3.1*4(км/ч)
4х=12.4(км/ч)

Answer 2

Problem Analysis

We are given that the distance between two points is 40 km. A pedestrian and a cyclist start simultaneously from these two points and meet after 2.5 hours. The cyclist's speed is 4 times greater than the pedestrian's speed. We need to find the speeds of the pedestrian and the cyclist.

Solution

Let's assume the speed of the pedestrian is x km/h. Since the cyclist's speed is 4 times greater, the speed of the cyclist is 4x km/h.

We can use the formula distance = speed × time to solve this problem. The total distance covered by the pedestrian and the cyclist is 40 km. The time taken is 2.5 hours.

For the pedestrian: - Distance = Speed × Time - 40 km = x km/h × 2.5 h

For the cyclist: - Distance = Speed × Time - 40 km = 4x km/h × 2.5 h

Let's solve these equations to find the speeds of the pedestrian and the cyclist.

Calculation

For the pedestrian: - 40 km = x km/h × 2.5 h - 40 km = 2.5x km/h - x km/h = 40 km / 2.5 h - x km/h = 16 km/h

For the cyclist: - 40 km = 4x km/h × 2.5 h - 40 km = 10x km/h - x km/h = 40 km / 10 h - x km/h = 4 km/h

Answer

The speed of the pedestrian is 16 km/h and the speed of the cyclist is 4 km/h.

Please let me know if I can help you with anything else.