Question

Пешеход вышел из пункта А в пункт B со скоростью 5 км ч.Если бы он двигался со скоростью на 1 км ч большей,то пришёл бы в B на один час раньше.Найдите расстояние от А до B.

Answer 1

Пусть х км - расстояние А-В, тогда составим уравнение на равенство времени:

х/5 = х/6 + 1

х/5 - х/6 = 1

6х/30 - 5х/30 = 1

х/30 = 1

х = 30*1

х = 30 км

Answer 2

Problem Analysis

We are given that a pedestrian traveled from point A to point B at a speed of 5 km/h. If the pedestrian had traveled at a speed 1 km/h faster, they would have arrived at point B one hour earlier. We need to find the distance from point A to point B.

Solution

Let's assume the distance from point A to point B is d kilometers.

We know that the pedestrian traveled at a speed of 5 km/h and arrived at point B. The time taken to travel from A to B at this speed can be calculated using the formula:

Time = Distance / Speed

So, the time taken to travel from A to B at a speed of 5 km/h is:

Time1 = d / 5

If the pedestrian had traveled at a speed 1 km/h faster, they would have arrived at point B one hour earlier. This means the time taken to travel from A to B at a speed of 6 km/h would be:

Time2 = d / 6

According to the given information, the difference in time between Time1 and Time2 is 1 hour. So, we can write the equation:

Time1 - Time2 = 1

Substituting the values of Time1 and Time2, we get:

(d / 5) - (d / 6) = 1

Simplifying the equation, we have:

(6d - 5d) / 30 = 1

d / 30 = 1

Multiplying both sides of the equation by 30, we get:

d = 30

Therefore, the distance from point A to point B is 30 kilometers.

Answer

The distance from point A to point B is 30 kilometers.