Question

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 допункта В

Answer 1

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Answer 2

Calculation of Distance from Point A to Point B

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, and the motorcyclist's speed is 23.4 km/h faster than the cyclist's speed, we can set up the following equations:

Cyclist's Speed × 5 = Distance Motorcyclist's Speed × 2 = Distance Motorcyclist's Speed = Cyclist's Speed + 23.4

To find the distance, we need to solve these equations. Let's proceed with the calculations.

Calculations:

Let's assume the speed of the cyclist is x km/h. Therefore, the speed of the motorcyclist would be x + 23.4 km/h.

Using the equation Cyclist's Speed × 5 = Distance, we can rewrite it as:

5x = Distance (Equation 1)

Using the equation Motorcyclist's Speed × 2 = Distance, we can rewrite it as:

2(x + 23.4) = Distance (Equation 2)

Now, we can equate the two distances:

5x = 2(x + 23.4)

Simplifying the equation:

5x = 2x + 46.8

3x = 46.8

x = 15.6

Now that we have the value of x, we can substitute it back into Equation 1 to find the distance:

Distance = 5x = 5 × 15.6 = 78 km

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

Answer:

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