Question

Пусть 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

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, we can set up the following equations:

Distance_cyclist = Speed_cyclist × 5

Distance_motorcyclist = Speed_motorcyclist × 2

We also know 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 this information, we can set up the following equation:

S_motorcyclist = S_cyclist + 23.4

Now, we can substitute the values into the equations and solve for the distance from point A to point B.

Distance_cyclist = S_cyclist × 5

Distance_motorcyclist = S_motorcyclist × 2

Substituting S_motorcyclist = S_cyclist + 23.4 into the equation for the distance traveled by the motorcyclist:

Distance_motorcyclist = (S_cyclist + 23.4) × 2

Now, we can equate the two distances and solve for S_cyclist:

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

Simplifying the equation:

5S_cyclist = 2S_cyclist + 46.8

3S_cyclist = 46.8

S_cyclist = 46.8 / 3

S_cyclist = 15.6 km/h

Now, we can substitute the value of S_cyclist back into the equation for the distance traveled by the cyclist:

Distance_cyclist = 15.6 × 5

Distance_cyclist = 78 km

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