Question

3. Путь от пункта А до пункта В велосипедист проехал за 5 ч, а мотоциклист – за 2 ч. Скорость мотоциклиста на 23,4 км/ч больше скорости велосипедиста. Чему равно расстояние от пункта А до пункта В?

Answer 1

                              Скорость     Время     Расстояние
Велосипедист         х км/ч            5 ч       одинаковое (?)
Мотоциклист      (х+23,4) км/ч     2 ч       одинаковое (?)

Составляем уравнение по условию задачи:
5х = 2(х+23,4)
5 х = 2 х + 46,8
5 х - 2 х = 46,8
3 х = 46,8
х = 46,8 : 3
х= 15,6 км/ч - скорость велосипедиста
2) 15,6 * 5 = 78 км- расстояние между А и В

Answer 2

Calculation of Distance from Point A to Point B

To find the distance from point A to point B, we can use the formula: distance = speed × time.

Given that the cyclist took 5 hours to travel from point A to point B, and the motorcyclist took 2 hours, and the motorcyclist's speed is 23.4 km/h faster than the cyclist's speed, we can set up the following equations:

Let's assume the cyclist's speed is x km/h. - For the cyclist: distance = x km/h × 5 hours

The motorcyclist's speed is 23.4 km/h faster than the cyclist's speed, so the motorcyclist's speed is (x + 23.4) km/h. - For the motorcyclist: distance = (x + 23.4) km/h × 2 hours

Since the distances covered by both the cyclist and the motorcyclist are the same, we can equate the two equations:

x km/h × 5 hours = (x + 23.4) km/h × 2 hours

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

Let's solve the equation step by step:

5x = 2(x + 23.4)

5x = 2x + 46.8

5x - 2x = 46.8

3x = 46.8

x = 46.8 / 3

x ≈ 15.6

Therefore, the cyclist's speed is approximately 15.6 km/h.

To find the distance from point A to point B, we can substitute the cyclist's speed into the equation:

Distance = speed × time = 15.6 km/h × 5 hours

Distance = 78 km

Therefore, the distance from point A to point B is 78 kilometers.

Answer

The distance from point A to point B is approximately 78 kilometers.