Question

Из пункта А в пункт Б расстояние между которыми 40 км выехал велосипедист.через 2 часа после этого из пункта Б в пункт А вышел пешеход и через 1 час встретил велосипедиста.найти скорость велосипедиста и скорость пешехода если скорость велосипедиста на 8 км/ч больше

Answer 1

Х скорость пешехода
х+8 скорость велика
(х+8)×2 км проехал велик за 2ч
40-2(х+8) оставшееся расстояние
(х+х+8)=2х+8 скорость сближения
(2х+8)×1=40-2(х+8)
2х+8=40-2х-16
2х+8=24-2х
2х+2х=24-8
4х=16
х=16÷4
х=4 км/ч скорость пешехода
4+8=12 км/ч скорость велика

Answer 2

Problem Analysis

We are given that a cyclist traveled from point A to point B, a distance of 40 km, and after 2 hours, a pedestrian started walking from point B to point A. After 1 hour, the pedestrian met the cyclist. We need to find the speed of the cyclist and the speed of the pedestrian, given that the cyclist's speed is 8 km/h faster than the pedestrian's speed.

Solution

Let's assume the speed of the pedestrian is x km/h. Since the cyclist's speed is 8 km/h faster, the cyclist's speed is x + 8 km/h.

To find the speed of each person, we can use the formula: speed = distance / time.

The cyclist traveled a distance of 40 km in 2 hours, so their speed is 40 km / 2 hours = 20 km/h.

The pedestrian traveled a distance of 40 km in 1 hour, so their speed is 40 km / 1 hour = 40 km/h.

Therefore, the speed of the cyclist is 20 km/h and the speed of the pedestrian is 40 km/h.

Answer

The speed of the cyclist is 20 km/h and the speed of the pedestrian is 40 km/h.