Question

Пешеход и велосипедист , двигаясь навстречу друг другу,ДО встречи преодолели 72 км за 3 часа.определите их скорости , учитывая, что скорость велосипедиста в 5 раз больше скорости пешехода решение без икса

Answer 1

72/3=24 км/ч - скорость сближения
24/6=4 км/ч - скорость пешехода
24-4=20 км/ч - скорость велосипедиста

Answer 2

Problem Analysis

The problem states that a pedestrian and a cyclist, moving towards each other, covered a distance of 72 km in 3 hours. It also provides the relationship between the cyclist's speed and the pedestrian's speed.

Given Information

- Distance covered by both the pedestrian and the cyclist: 72 km - Time taken: 3 hours - Relationship between the cyclist's speed and the pedestrian's speed: the cyclist's speed is 5 times greater than the pedestrian's speed

Solution

Let's denote the pedestrian's speed as P and the cyclist's speed as 5P (since the cyclist's speed is 5 times greater than the pedestrian's speed).

The total distance covered is the sum of the distances covered by the pedestrian and the cyclist, which is 72 km.

Using the formula: Distance = Speed × Time

We can set up the following equation: (P + 5P) × 3 = 72

Solving for P: 6P × 3 = 72 18P = 72 P = 72 / 18 P = 4

Answer

So, the pedestrian's speed is 4 km/h and the cyclist's speed is 20 km/h.