Question

Путь от пункта А до пункта Б велосипедист проехал за 5 часов а мотоциклист за 2 часа скорость мотоциклиста на 23,4 км/чбольше скорости велосипедиста Чему равно расстояние от пункта А до пункта Б В Это последнее задание​

Answer 1

Ответ:

78 км

Пошаговое объяснение:

Обозначим расстояние от пункта А до пункта Б через "х" км, тогда скорость мотоциклиста равна "х/2" км/ч, а велосипедиста "х/5" км/ч. По условию, скорость мотоциклиста на 23,4 км/ч больше скорости велосипедиста. Составим и решим уравнение:

$\dfrac{x}{2}-\dfrac{x}{5}=23,4 \quad \bigg | \cdot 10$

$5x-2x=234;$

$(5-2)x=234;$

$3x=234;$

$x=234:3;$

$x=78;$

Расстояние от пункта А до пункта Б: 78 км.

Answer 2

Ответ:

Пошаговое объяснение:

Путь скорость велосипедиста будет (х) км/ч

тогда скорость мотоциклиста (х+23,4) км/ч

5x = 2(x+23,4)

5x = 2x + 46,8

5x - 2x = 46,8

3x = 46,8

x = 46,8 : 3

x = 15,6км/ч скорость велосипедиста

15,6*5 = 78км расстояние от пункта А до пункта Б

Answer 3

Calculation of Distance

To calculate 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, we can set up the following equations:

Distance_cyclist = Speed_cyclist × Time_cyclist

Distance_motorcyclist = Speed_motorcyclist × Time_motorcyclist

We are also given that the motorcyclist's speed is 23.4 km/h greater than the cyclist's speed.

Let's denote the cyclist's speed as S_cyclist and the motorcyclist's speed as S_motorcyclist.

From the given information, we have the following equations:

Distance_cyclist = S_cyclist × 5

Distance_motorcyclist = S_motorcyclist × 2

And we know that:

S_motorcyclist = S_cyclist + 23.4

Now, we can solve these equations to find the distance from point A to point B.

Solution

Substituting the value of S_motorcyclist in terms of S_cyclist into the equation for Distance_motorcyclist, we get:

Distance_motorcyclist = (S_cyclist + 23.4) × 2

Substituting the value of Distance_motorcyclist from the equation above into the equation for Distance_cyclist, we get:

Distance_cyclist = S_cyclist × 5 = (S_cyclist + 23.4) × 2

Now, we can solve this equation to find the value of S_cyclist.

Expanding the equation, we get:

5S_cyclist = 2S_cyclist + 46.8

Simplifying, we find:

3S_cyclist = 46.8

Dividing both sides by 3, we get:

S_cyclist = 15.6 km/h

Now that we have the value of S_cyclist, we can substitute it back into the equation for Distance_cyclist to find the distance from point A to point B:

Distance_cyclist = S_cyclist × 5 = 15.6 km/h × 5 = 78 km

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

Answer

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