Question

Пешекот проходит путь из города А в город В за 5 часов . Если бы он шёл со скоростью на 1 км в час быстрее то он затратил бы на этот же путь 4 часа. найдите скорость пешехода

Answer 1

НЕ ПОНЯТНО ОБЬЯСНИ ЛУЧШЕ

Answer 2

Problem Analysis

We are given that a pedestrian travels from city A to city B in 5 hours. If the pedestrian were to walk 1 km/h faster, they would complete 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, the pedestrian takes 5 hours to travel from city A to city B at this speed.

If the pedestrian were to walk 1 km/h faster, their speed would be x + 1 km/h. According to the given information, the pedestrian would take 4 hours to travel from city A to city B at this speed.

We can set up the following equation based on the given information:

Distance = Speed × Time

For the original speed: Distance = x km/h × 5 hours

For the increased speed: Distance = (x + 1) km/h × 4 hours

Since the distance is the same in both cases (from city A to city B), we can equate the two expressions:

x km/h × 5 hours = (x + 1) km/h × 4 hours

Now, we can solve this equation to find the value of x, which represents the pedestrian's original speed.

Calculation

Let's solve the equation:

x × 5 = (x + 1) × 4

Expanding the equation:

5x = 4x + 4

Subtracting 4x from both sides:

x = 4

Therefore, the pedestrian's original speed is 4 km/h.

Answer

The pedestrian's speed is 4 km/h.

Explanation

The pedestrian takes 5 hours to travel from city A to city B at a speed of 4 km/h. If the pedestrian were to walk 1 km/h faster, they would complete the same distance in 4 hours.