Question

Путь от пункта А до пункта В велосипедист проехал за 6 ч, а мотоциклист - за 3 ч. Скорость мотоциклиста на 13,6 км/ч больше скорости велосипедиста. Чему равно расстояние от пункта А до пункта В?​

Answer 1

Ответ:

81,6 км

Пошаговое объяснение:

Обозначим весь пусть от А до В за х, тогда скорость велосипедиста равна х/6 , а скорость мотоциклиста х/3.  Скорость мотоциклиста больше скорости велосипедиста на 13,6 км/ч, значит можно записать уравнение:

x/3 - x/6 = 13,6

x/6=13,6

x=13,6*6

x=81,6

Путь АВ равен 81,6 км

Answer 2

Problem Analysis

We are given that a cyclist traveled from point A to point B in 6 hours, while a motorcyclist traveled the same distance in 3 hours. The motorcyclist's speed is 13.6 km/h faster than the cyclist's speed. We need to find the distance from point A to point B.

Solution

Let's assume the speed of the cyclist is x km/h. Therefore, the speed of the motorcyclist is x + 13.6 km/h.

We can use the formula distance = speed × time to find the distance traveled by each person.

For the cyclist: - Speed = x km/h - Time = 6 hours - Distance = x × 6 km

For the motorcyclist: - Speed = x + 13.6 km/h - Time = 3 hours - Distance = (x + 13.6) × 3 km

Since both distances are the same (the distance from point A to point B), we can set up an equation:

x × 6 = (x + 13.6) × 3

Now, let's solve this equation to find the value of x.

Solving the Equation

Expanding the equation, we get:

6x = 3x + 40.8

Subtracting 3x from both sides, we get:

3x = 40.8

Dividing both sides by 3, we get:

x = 13.6

Therefore, the speed of the cyclist is 13.6 km/h.

Now, we can find the distance from point A to point B by substituting the value of x into the equation:

Distance = x × 6 = 13.6 × 6 = 81.6 km

So, the distance from point A to point B is 81.6 km.

Answer

The distance from point A to point B is 81.6 km.