Question

Пешеход проходит путь из города A в город B за 5 часов.Если бы он шел со скостью на 1 км/ч быстрее,то он затратил бы на зтот же путь 4 часа.Найдите скорость пешехода

Answer 1

Х км/ч - скорость пешехода 
(х+1) км/ч - скорость предполагаемая
5*х км - расстояние между городами А и В
4*(х+1) км - это же расстояние между А и В
Уравнение
5х = 4(х+1)
5х= 4х + 4
5х - 4х = 4
х = 4 км/ч - скорость пешехода
Ответ: 4 км/ч

Answer 2

Problem Analysis

We are given that a pedestrian walks from city A to city B in 5 hours. If the pedestrian walked 1 km/h faster, they would have completed the same distance in 4 hours. We need to find the pedestrian's speed.

Solution

Let's assume the pedestrian's original speed is x km/h. According to the given information, we have two equations:

1. Distance = Speed × Time - For the original speed: Distance = x km/h × 5 hours - For the increased speed: Distance = (x + 1) km/h × 4 hours

2. The distances are the same: - x km/h × 5 hours = (x + 1) km/h × 4 hours

To find the pedestrian's speed, we can solve this equation.

Calculation

Let's solve the equation:

x × 5 = (x + 1) × 4

Expanding the equation:

5x = 4x + 4

Subtracting 4x from both sides:

x = 4

Answer

The pedestrian's speed is 4 km/h.

Explanation

The pedestrian's original speed is 4 km/h. If they walked at this speed, they would take 5 hours to complete the distance from city A to city B. If they walked 1 km/h faster, their speed would be 5 km/h, and they would take 4 hours to complete the same distance.